Finding the Third Proportional to 410,160 and 861,792
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Solution
The third proportional to 410,160 and 861,792 is: 1,810,721.31
Step by Step Solution
- Step 1: Write the proportion equation
410,160 : 861,792 = 861,792 : x - Step 2: Convert to fraction form
410,160/861,792 = 861,792/x - Step 3: Cross multiply
410,160x = 861,792 × 861,792 - Step 4: Simplify right side
410,160x = 742,685,451,264 - Step 5: Solve for x
x = 742,685,451,264/410,160 - Step 6: Final answer
x = 1,810,721.31
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.