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Finding the Third Proportional to 499,809 and 1,079,448

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Solution

The third proportional to 499,809 and 1,079,448 is: 2,331,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,809 : 1,079,448 = 1,079,448 : x
  2. Step 2: Convert to fraction form
    499,809/1,079,448 = 1,079,448/x
  3. Step 3: Cross multiply
    499,809x = 1,079,448 × 1,079,448
  4. Step 4: Simplify right side
    499,809x = 1,165,207,984,704
  5. Step 5: Solve for x
    x = 1,165,207,984,704/499,809
  6. Step 6: Final answer
    x = 2,331,306.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.