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Finding the Third Proportional to 3,027,414 and 5,045,493

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Solution

The third proportional to 3,027,414 and 5,045,493 is: 8,408,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027,414 : 5,045,493 = 5,045,493 : x
  2. Step 2: Convert to fraction form
    3,027,414/5,045,493 = 5,045,493/x
  3. Step 3: Cross multiply
    3,027,414x = 5,045,493 × 5,045,493
  4. Step 4: Simplify right side
    3,027,414x = 25,456,999,613,049
  5. Step 5: Solve for x
    x = 25,456,999,613,049/3,027,414
  6. Step 6: Final answer
    x = 8,408,826.68

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.