Finding the Third Proportional to 416,040 and 851,792
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Solution
The third proportional to 416,040 and 851,792 is: 1,743,941.96
Step by Step Solution
- Step 1: Write the proportion equation
416,040 : 851,792 = 851,792 : x - Step 2: Convert to fraction form
416,040/851,792 = 851,792/x - Step 3: Cross multiply
416,040x = 851,792 × 851,792 - Step 4: Simplify right side
416,040x = 725,549,611,264 - Step 5: Solve for x
x = 725,549,611,264/416,040 - Step 6: Final answer
x = 1,743,941.96
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.