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Finding the Third Proportional to 3,281,438 and 4,967,493

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Solution

The third proportional to 3,281,438 and 4,967,493 is: 7,519,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281,438 : 4,967,493 = 4,967,493 : x
  2. Step 2: Convert to fraction form
    3,281,438/4,967,493 = 4,967,493/x
  3. Step 3: Cross multiply
    3,281,438x = 4,967,493 × 4,967,493
  4. Step 4: Simplify right side
    3,281,438x = 24,675,986,705,049
  5. Step 5: Solve for x
    x = 24,675,986,705,049/3,281,438
  6. Step 6: Final answer
    x = 7,519,869.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.