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Finding the Third Proportional to 399,810 and 943,812

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Solution

The third proportional to 399,810 and 943,812 is: 2,228,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,810 : 943,812 = 943,812 : x
  2. Step 2: Convert to fraction form
    399,810/943,812 = 943,812/x
  3. Step 3: Cross multiply
    399,810x = 943,812 × 943,812
  4. Step 4: Simplify right side
    399,810x = 890,781,091,344
  5. Step 5: Solve for x
    x = 890,781,091,344/399,810
  6. Step 6: Final answer
    x = 2,228,011.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.