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Finding the Third Proportional to 519,951,552 and 764,005,920

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Solution

The third proportional to 519,951,552 and 764,005,920 is: 1,122,614,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,951,552 : 764,005,920 = 764,005,920 : x
  2. Step 2: Convert to fraction form
    519,951,552/764,005,920 = 764,005,920/x
  3. Step 3: Cross multiply
    519,951,552x = 764,005,920 × 764,005,920
  4. Step 4: Simplify right side
    519,951,552x = 583,705,045,795,046,400
  5. Step 5: Solve for x
    x = 583,705,045,795,046,400/519,951,552
  6. Step 6: Final answer
    x = 1,122,614,296.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.