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Finding the Third Proportional to 1,564,251.75 and 2,231,286.75

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Solution

The third proportional to 1,564,251.75 and 2,231,286.75 is: 3,182,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,251.75 : 2,231,286.75 = 2,231,286.75 : x
  2. Step 2: Convert to fraction form
    1,564,251.75/2,231,286.75 = 2,231,286.75/x
  3. Step 3: Cross multiply
    1,564,251.75x = 2,231,286.75 × 2,231,286.75
  4. Step 4: Simplify right side
    1,564,251.75x = 4,978,640,560,725.56
  5. Step 5: Solve for x
    x = 4,978,640,560,725.56/1,564,251.75
  6. Step 6: Final answer
    x = 3,182,761.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.