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Finding the Third Proportional to 416,694 and 862,932

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Solution

The third proportional to 416,694 and 862,932 is: 1,787,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,694 : 862,932 = 862,932 : x
  2. Step 2: Convert to fraction form
    416,694/862,932 = 862,932/x
  3. Step 3: Cross multiply
    416,694x = 862,932 × 862,932
  4. Step 4: Simplify right side
    416,694x = 744,651,636,624
  5. Step 5: Solve for x
    x = 744,651,636,624/416,694
  6. Step 6: Final answer
    x = 1,787,046.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.