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Finding the Third Proportional to 566,067 and 1,231,785

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Solution

The third proportional to 566,067 and 1,231,785 is: 2,680,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,067 : 1,231,785 = 1,231,785 : x
  2. Step 2: Convert to fraction form
    566,067/1,231,785 = 1,231,785/x
  3. Step 3: Cross multiply
    566,067x = 1,231,785 × 1,231,785
  4. Step 4: Simplify right side
    566,067x = 1,517,294,286,225
  5. Step 5: Solve for x
    x = 1,517,294,286,225/566,067
  6. Step 6: Final answer
    x = 2,680,414.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.