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Finding the Third Proportional to 1,150,711.50 and 1,726,067.25

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Solution

The third proportional to 1,150,711.50 and 1,726,067.25 is: 2,589,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,711.50 : 1,726,067.25 = 1,726,067.25 : x
  2. Step 2: Convert to fraction form
    1,150,711.50/1,726,067.25 = 1,726,067.25/x
  3. Step 3: Cross multiply
    1,150,711.50x = 1,726,067.25 × 1,726,067.25
  4. Step 4: Simplify right side
    1,150,711.50x = 2,979,308,151,522.56
  5. Step 5: Solve for x
    x = 2,979,308,151,522.56/1,150,711.50
  6. Step 6: Final answer
    x = 2,589,100.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.