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Finding the Third Proportional to 2,565,108 and 5,419,872

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Solution

The third proportional to 2,565,108 and 5,419,872 is: 11,451,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565,108 : 5,419,872 = 5,419,872 : x
  2. Step 2: Convert to fraction form
    2,565,108/5,419,872 = 5,419,872/x
  3. Step 3: Cross multiply
    2,565,108x = 5,419,872 × 5,419,872
  4. Step 4: Simplify right side
    2,565,108x = 29,375,012,496,384
  5. Step 5: Solve for x
    x = 29,375,012,496,384/2,565,108
  6. Step 6: Final answer
    x = 11,451,764.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.