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Finding the Third Proportional to 659,242.13 and 1,399,416.75

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Solution

The third proportional to 659,242.13 and 1,399,416.75 is: 2,970,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,242.13 : 1,399,416.75 = 1,399,416.75 : x
  2. Step 2: Convert to fraction form
    659,242.13/1,399,416.75 = 1,399,416.75/x
  3. Step 3: Cross multiply
    659,242.13x = 1,399,416.75 × 1,399,416.75
  4. Step 4: Simplify right side
    659,242.13x = 1,958,367,240,180.56
  5. Step 5: Solve for x
    x = 1,958,367,240,180.56/659,242.13
  6. Step 6: Final answer
    x = 2,970,634.26

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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.