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Finding the Third Proportional to 736,067.25 and 1,107,786.38

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Solution

The third proportional to 736,067.25 and 1,107,786.38 is: 1,667,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,067.25 : 1,107,786.38 = 1,107,786.38 : x
  2. Step 2: Convert to fraction form
    736,067.25/1,107,786.38 = 1,107,786.38/x
  3. Step 3: Cross multiply
    736,067.25x = 1,107,786.38 × 1,107,786.38
  4. Step 4: Simplify right side
    736,067.25x = 1,227,190,652,635.64
  5. Step 5: Solve for x
    x = 1,227,190,652,635.64/736,067.25
  6. Step 6: Final answer
    x = 1,667,226.27

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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.