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Finding the Third Proportional to 2,564,794.13 and 4,002,469.88

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Solution

The third proportional to 2,564,794.13 and 4,002,469.88 is: 6,246,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,794.13 : 4,002,469.88 = 4,002,469.88 : x
  2. Step 2: Convert to fraction form
    2,564,794.13/4,002,469.88 = 4,002,469.88/x
  3. Step 3: Cross multiply
    2,564,794.13x = 4,002,469.88 × 4,002,469.88
  4. Step 4: Simplify right side
    2,564,794.13x = 16,019,765,100,282.52
  5. Step 5: Solve for x
    x = 16,019,765,100,282.52/2,564,794.13
  6. Step 6: Final answer
    x = 6,246,023.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.