Finding the Third Proportional to 409,472 and 886,016
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Solution
The third proportional to 409,472 and 886,016 is: 1,917,162.47
Step by Step Solution
- Step 1: Write the proportion equation
409,472 : 886,016 = 886,016 : x - Step 2: Convert to fraction form
409,472/886,016 = 886,016/x - Step 3: Cross multiply
409,472x = 886,016 × 886,016 - Step 4: Simplify right side
409,472x = 785,024,352,256 - Step 5: Solve for x
x = 785,024,352,256/409,472 - Step 6: Final answer
x = 1,917,162.47
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.