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Finding the Third Proportional to 747,363 and 1,160,418

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Solution

The third proportional to 747,363 and 1,160,418 is: 1,801,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,363 : 1,160,418 = 1,160,418 : x
  2. Step 2: Convert to fraction form
    747,363/1,160,418 = 1,160,418/x
  3. Step 3: Cross multiply
    747,363x = 1,160,418 × 1,160,418
  4. Step 4: Simplify right side
    747,363x = 1,346,569,934,724
  5. Step 5: Solve for x
    x = 1,346,569,934,724/747,363
  6. Step 6: Final answer
    x = 1,801,761.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.