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Finding the Third Proportional to 564,229,322 and 871,498,695

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Solution

The third proportional to 564,229,322 and 871,498,695 is: 1,346,101,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,229,322 : 871,498,695 = 871,498,695 : x
  2. Step 2: Convert to fraction form
    564,229,322/871,498,695 = 871,498,695/x
  3. Step 3: Cross multiply
    564,229,322x = 871,498,695 × 871,498,695
  4. Step 4: Simplify right side
    564,229,322x = 759,509,975,386,702,976
  5. Step 5: Solve for x
    x = 759,509,975,386,702,976/564,229,322
  6. Step 6: Final answer
    x = 1,346,101,568.59

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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.