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Finding the Third Proportional to 659,260 and 1,399,448

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Solution

The third proportional to 659,260 and 1,399,448 is: 2,970,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,260 : 1,399,448 = 1,399,448 : x
  2. Step 2: Convert to fraction form
    659,260/1,399,448 = 1,399,448/x
  3. Step 3: Cross multiply
    659,260x = 1,399,448 × 1,399,448
  4. Step 4: Simplify right side
    659,260x = 1,958,454,704,704
  5. Step 5: Solve for x
    x = 1,958,454,704,704/659,260
  6. Step 6: Final answer
    x = 2,970,686.38

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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.