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Finding the Third Proportional to 542,882.25 and 1,072,140.75

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Solution

The third proportional to 542,882.25 and 1,072,140.75 is: 2,117,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,882.25 : 1,072,140.75 = 1,072,140.75 : x
  2. Step 2: Convert to fraction form
    542,882.25/1,072,140.75 = 1,072,140.75/x
  3. Step 3: Cross multiply
    542,882.25x = 1,072,140.75 × 1,072,140.75
  4. Step 4: Simplify right side
    542,882.25x = 1,149,485,787,810.56
  5. Step 5: Solve for x
    x = 1,149,485,787,810.56/542,882.25
  6. Step 6: Final answer
    x = 2,117,375.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.