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Finding the Third Proportional to 527,127,902 and 771,287,847

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Solution

The third proportional to 527,127,902 and 771,287,847 is: 1,128,540,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,127,902 : 771,287,847 = 771,287,847 : x
  2. Step 2: Convert to fraction form
    527,127,902/771,287,847 = 771,287,847/x
  3. Step 3: Cross multiply
    527,127,902x = 771,287,847 × 771,287,847
  4. Step 4: Simplify right side
    527,127,902x = 594,884,942,929,895,424
  5. Step 5: Solve for x
    x = 594,884,942,929,895,424/527,127,902
  6. Step 6: Final answer
    x = 1,128,540,038.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.