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Finding the Third Proportional to 564,203,448 and 871,837,560

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Solution

The third proportional to 564,203,448 and 871,837,560 is: 1,347,210,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,203,448 : 871,837,560 = 871,837,560 : x
  2. Step 2: Convert to fraction form
    564,203,448/871,837,560 = 871,837,560/x
  3. Step 3: Cross multiply
    564,203,448x = 871,837,560 × 871,837,560
  4. Step 4: Simplify right side
    564,203,448x = 760,100,731,026,753,536
  5. Step 5: Solve for x
    x = 760,100,731,026,753,536/564,203,448
  6. Step 6: Final answer
    x = 1,347,210,361.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.