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Finding the Third Proportional to 747,474 and 1,160,523

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Solution

The third proportional to 747,474 and 1,160,523 is: 1,801,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,474 : 1,160,523 = 1,160,523 : x
  2. Step 2: Convert to fraction form
    747,474/1,160,523 = 1,160,523/x
  3. Step 3: Cross multiply
    747,474x = 1,160,523 × 1,160,523
  4. Step 4: Simplify right side
    747,474x = 1,346,813,633,529
  5. Step 5: Solve for x
    x = 1,346,813,633,529/747,474
  6. Step 6: Final answer
    x = 1,801,820.04

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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.