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\begin{array}{c}\phantom{\times999}1449\\\underline{\times\phantom{999}1745}\\\end{array}
First line up the numbers vertically and match the places from the right like this.
\begin{array}{c}\phantom{\times999}1449\\\underline{\times\phantom{999}1745}\\\phantom{\times999}7245\\\end{array}
Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1449 with 5. Write the result 7245 at the end leaving 0 spaces to the right like this.
\begin{array}{c}\phantom{\times999}1449\\\underline{\times\phantom{999}1745}\\\phantom{\times999}7245\\\phantom{\times99}5796\phantom{9}\\\end{array}
Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1449 with 4. Write the result 5796 at the end leaving 1 spaces to the right like this.
\begin{array}{c}\phantom{\times999}1449\\\underline{\times\phantom{999}1745}\\\phantom{\times999}7245\\\phantom{\times99}5796\phantom{9}\\\phantom{\times}10143\phantom{99}\\\end{array}
Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1449 with 7. Write the result 10143 at the end leaving 2 spaces to the right like this.
\begin{array}{c}\phantom{\times999}1449\\\underline{\times\phantom{999}1745}\\\phantom{\times999}7245\\\phantom{\times99}5796\phantom{9}\\\phantom{\times}10143\phantom{99}\\\underline{\phantom{\times}1449\phantom{999}}\\\end{array}
Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1449 with 1. Write the result 1449 at the end leaving 3 spaces to the right like this.
\begin{array}{c}\phantom{\times999}1449\\\underline{\times\phantom{999}1745}\\\phantom{\times999}7245\\\phantom{\times99}5796\phantom{9}\\\phantom{\times}10143\phantom{99}\\\underline{\phantom{\times}1449\phantom{999}}\\\phantom{\times}2528505\end{array}
Now add the intermediate results to get final answer.