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Finding the Third Proportional to 527,506,854 and 775,458,474

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Solution

The third proportional to 527,506,854 and 775,458,474 is: 1,139,958,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,506,854 : 775,458,474 = 775,458,474 : x
  2. Step 2: Convert to fraction form
    527,506,854/775,458,474 = 775,458,474/x
  3. Step 3: Cross multiply
    527,506,854x = 775,458,474 × 775,458,474
  4. Step 4: Simplify right side
    527,506,854x = 601,335,844,898,408,704
  5. Step 5: Solve for x
    x = 601,335,844,898,408,704/527,506,854
  6. Step 6: Final answer
    x = 1,139,958,353.79

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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.