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Finding the Third Proportional to 659,229.75 and 1,399,425.75

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Solution

The third proportional to 659,229.75 and 1,399,425.75 is: 2,970,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,229.75 : 1,399,425.75 = 1,399,425.75 : x
  2. Step 2: Convert to fraction form
    659,229.75/1,399,425.75 = 1,399,425.75/x
  3. Step 3: Cross multiply
    659,229.75x = 1,399,425.75 × 1,399,425.75
  4. Step 4: Simplify right side
    659,229.75x = 1,958,392,429,763.06
  5. Step 5: Solve for x
    x = 1,958,392,429,763.06/659,229.75
  6. Step 6: Final answer
    x = 2,970,728.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.