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Finding the Third Proportional to 416,558 and 862,654

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Solution

The third proportional to 416,558 and 862,654 is: 1,786,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,558 : 862,654 = 862,654 : x
  2. Step 2: Convert to fraction form
    416,558/862,654 = 862,654/x
  3. Step 3: Cross multiply
    416,558x = 862,654 × 862,654
  4. Step 4: Simplify right side
    416,558x = 744,171,923,716
  5. Step 5: Solve for x
    x = 744,171,923,716/416,558
  6. Step 6: Final answer
    x = 1,786,478.53

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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.