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Finding the Third Proportional to 407,804,019 and 604,061,542

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Solution

The third proportional to 407,804,019 and 604,061,542 is: 894,768,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,804,019 : 604,061,542 = 604,061,542 : x
  2. Step 2: Convert to fraction form
    407,804,019/604,061,542 = 604,061,542/x
  3. Step 3: Cross multiply
    407,804,019x = 604,061,542 × 604,061,542
  4. Step 4: Simplify right side
    407,804,019x = 364,890,346,523,417,792
  5. Step 5: Solve for x
    x = 364,890,346,523,417,792/407,804,019
  6. Step 6: Final answer
    x = 894,768,882.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.