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Finding the Third Proportional to 393,831 and 863,910

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Solution

The third proportional to 393,831 and 863,910 is: 1,895,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,831 : 863,910 = 863,910 : x
  2. Step 2: Convert to fraction form
    393,831/863,910 = 863,910/x
  3. Step 3: Cross multiply
    393,831x = 863,910 × 863,910
  4. Step 4: Simplify right side
    393,831x = 746,340,488,100
  5. Step 5: Solve for x
    x = 746,340,488,100/393,831
  6. Step 6: Final answer
    x = 1,895,078.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.