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Finding the Third Proportional to 423,443 and 881,734

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Solution

The third proportional to 423,443 and 881,734 is: 1,836,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,443 : 881,734 = 881,734 : x
  2. Step 2: Convert to fraction form
    423,443/881,734 = 881,734/x
  3. Step 3: Cross multiply
    423,443x = 881,734 × 881,734
  4. Step 4: Simplify right side
    423,443x = 777,454,846,756
  5. Step 5: Solve for x
    x = 777,454,846,756/423,443
  6. Step 6: Final answer
    x = 1,836,031.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.