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Finding the Third Proportional to 564,229,316 and 871,498,686

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Solution

The third proportional to 564,229,316 and 871,498,686 is: 1,346,101,555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,229,316 : 871,498,686 = 871,498,686 : x
  2. Step 2: Convert to fraction form
    564,229,316/871,498,686 = 871,498,686/x
  3. Step 3: Cross multiply
    564,229,316x = 871,498,686 × 871,498,686
  4. Step 4: Simplify right side
    564,229,316x = 759,509,959,699,726,592
  5. Step 5: Solve for x
    x = 759,509,959,699,726,592/564,229,316
  6. Step 6: Final answer
    x = 1,346,101,555.10

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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.