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Finding the Third Proportional to 416,566 and 862,672

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Solution

The third proportional to 416,566 and 862,672 is: 1,786,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,566 : 862,672 = 862,672 : x
  2. Step 2: Convert to fraction form
    416,566/862,672 = 862,672/x
  3. Step 3: Cross multiply
    416,566x = 862,672 × 862,672
  4. Step 4: Simplify right side
    416,566x = 744,202,979,584
  5. Step 5: Solve for x
    x = 744,202,979,584/416,566
  6. Step 6: Final answer
    x = 1,786,518.77

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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.