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Finding the Third Proportional to 400,864 and 863,744

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Solution

The third proportional to 400,864 and 863,744 is: 1,861,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,864 : 863,744 = 863,744 : x
  2. Step 2: Convert to fraction form
    400,864/863,744 = 863,744/x
  3. Step 3: Cross multiply
    400,864x = 863,744 × 863,744
  4. Step 4: Simplify right side
    400,864x = 746,053,697,536
  5. Step 5: Solve for x
    x = 746,053,697,536/400,864
  6. Step 6: Final answer
    x = 1,861,114.24

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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.