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Finding the Third Proportional to 674,408 and 1,016,067

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Solution

The third proportional to 674,408 and 1,016,067 is: 1,530,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,408 : 1,016,067 = 1,016,067 : x
  2. Step 2: Convert to fraction form
    674,408/1,016,067 = 1,016,067/x
  3. Step 3: Cross multiply
    674,408x = 1,016,067 × 1,016,067
  4. Step 4: Simplify right side
    674,408x = 1,032,392,148,489
  5. Step 5: Solve for x
    x = 1,032,392,148,489/674,408
  6. Step 6: Final answer
    x = 1,530,812.43

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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.