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Finding the Third Proportional to 501,489,684 and 681,010,542

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Solution

The third proportional to 501,489,684 and 681,010,542 is: 924,795,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,489,684 : 681,010,542 = 681,010,542 : x
  2. Step 2: Convert to fraction form
    501,489,684/681,010,542 = 681,010,542/x
  3. Step 3: Cross multiply
    501,489,684x = 681,010,542 × 681,010,542
  4. Step 4: Simplify right side
    501,489,684x = 463,775,358,315,133,760
  5. Step 5: Solve for x
    x = 463,775,358,315,133,760/501,489,684
  6. Step 6: Final answer
    x = 924,795,410.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.