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Finding the Third Proportional to 938,634 and 1,454,067

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Solution

The third proportional to 938,634 and 1,454,067 is: 2,252,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,634 : 1,454,067 = 1,454,067 : x
  2. Step 2: Convert to fraction form
    938,634/1,454,067 = 1,454,067/x
  3. Step 3: Cross multiply
    938,634x = 1,454,067 × 1,454,067
  4. Step 4: Simplify right side
    938,634x = 2,114,310,840,489
  5. Step 5: Solve for x
    x = 2,114,310,840,489/938,634
  6. Step 6: Final answer
    x = 2,252,540.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.