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Finding the Third Proportional to 602,591 and 933,822

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Solution

The third proportional to 602,591 and 933,822 is: 1,447,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,591 : 933,822 = 933,822 : x
  2. Step 2: Convert to fraction form
    602,591/933,822 = 933,822/x
  3. Step 3: Cross multiply
    602,591x = 933,822 × 933,822
  4. Step 4: Simplify right side
    602,591x = 872,023,527,684
  5. Step 5: Solve for x
    x = 872,023,527,684/602,591
  6. Step 6: Final answer
    x = 1,447,123.38

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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.