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Finding the Third Proportional to 3,912,819.38 and 5,406,775.13

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Solution

The third proportional to 3,912,819.38 and 5,406,775.13 is: 7,471,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912,819.38 : 5,406,775.13 = 5,406,775.13 : x
  2. Step 2: Convert to fraction form
    3,912,819.38/5,406,775.13 = 5,406,775.13/x
  3. Step 3: Cross multiply
    3,912,819.38x = 5,406,775.13 × 5,406,775.13
  4. Step 4: Simplify right side
    3,912,819.38x = 29,233,217,252,318.77
  5. Step 5: Solve for x
    x = 29,233,217,252,318.77/3,912,819.38
  6. Step 6: Final answer
    x = 7,471,138.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.