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Finding the Third Proportional to 539,694 and 1,162,448

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Solution

The third proportional to 539,694 and 1,162,448 is: 2,503,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,694 : 1,162,448 = 1,162,448 : x
  2. Step 2: Convert to fraction form
    539,694/1,162,448 = 1,162,448/x
  3. Step 3: Cross multiply
    539,694x = 1,162,448 × 1,162,448
  4. Step 4: Simplify right side
    539,694x = 1,351,285,352,704
  5. Step 5: Solve for x
    x = 1,351,285,352,704/539,694
  6. Step 6: Final answer
    x = 2,503,799.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.