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Finding the Third Proportional to 564,229,326 and 871,498,702

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Solution

The third proportional to 564,229,326 and 871,498,702 is: 1,346,101,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,229,326 : 871,498,702 = 871,498,702 : x
  2. Step 2: Convert to fraction form
    564,229,326/871,498,702 = 871,498,702/x
  3. Step 3: Cross multiply
    564,229,326x = 871,498,702 × 871,498,702
  4. Step 4: Simplify right side
    564,229,326x = 759,509,987,587,684,864
  5. Step 5: Solve for x
    x = 759,509,987,587,684,864/564,229,326
  6. Step 6: Final answer
    x = 1,346,101,580.67

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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.