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Finding the Third Proportional to 727,418 and 1,580,745

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Solution

The third proportional to 727,418 and 1,580,745 is: 3,435,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,418 : 1,580,745 = 1,580,745 : x
  2. Step 2: Convert to fraction form
    727,418/1,580,745 = 1,580,745/x
  3. Step 3: Cross multiply
    727,418x = 1,580,745 × 1,580,745
  4. Step 4: Simplify right side
    727,418x = 2,498,754,755,025
  5. Step 5: Solve for x
    x = 2,498,754,755,025/727,418
  6. Step 6: Final answer
    x = 3,435,101.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.