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Finding the Third Proportional to 2,399,766 and 3,375,561

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Solution

The third proportional to 2,399,766 and 3,375,561 is: 4,748,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399,766 : 3,375,561 = 3,375,561 : x
  2. Step 2: Convert to fraction form
    2,399,766/3,375,561 = 3,375,561/x
  3. Step 3: Cross multiply
    2,399,766x = 3,375,561 × 3,375,561
  4. Step 4: Simplify right side
    2,399,766x = 11,394,412,064,721
  5. Step 5: Solve for x
    x = 11,394,412,064,721/2,399,766
  6. Step 6: Final answer
    x = 4,748,134.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.