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Finding the Third Proportional to 564,229,344 and 871,498,716

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Solution

The third proportional to 564,229,344 and 871,498,716 is: 1,346,101,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,229,344 : 871,498,716 = 871,498,716 : x
  2. Step 2: Convert to fraction form
    564,229,344/871,498,716 = 871,498,716/x
  3. Step 3: Cross multiply
    564,229,344x = 871,498,716 × 871,498,716
  4. Step 4: Simplify right side
    564,229,344x = 759,510,011,989,648,640
  5. Step 5: Solve for x
    x = 759,510,011,989,648,640/564,229,344
  6. Step 6: Final answer
    x = 1,346,101,580.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.