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Finding the Third Proportional to 2,659,408 and 5,475,632

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Solution

The third proportional to 2,659,408 and 5,475,632 is: 11,274,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659,408 : 5,475,632 = 5,475,632 : x
  2. Step 2: Convert to fraction form
    2,659,408/5,475,632 = 5,475,632/x
  3. Step 3: Cross multiply
    2,659,408x = 5,475,632 × 5,475,632
  4. Step 4: Simplify right side
    2,659,408x = 29,982,545,799,424
  5. Step 5: Solve for x
    x = 29,982,545,799,424/2,659,408
  6. Step 6: Final answer
    x = 11,274,142.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.