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Finding the Third Proportional to 384,743 and 834,691

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Solution

The third proportional to 384,743 and 834,691 is: 1,810,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,743 : 834,691 = 834,691 : x
  2. Step 2: Convert to fraction form
    384,743/834,691 = 834,691/x
  3. Step 3: Cross multiply
    384,743x = 834,691 × 834,691
  4. Step 4: Simplify right side
    384,743x = 696,709,065,481
  5. Step 5: Solve for x
    x = 696,709,065,481/384,743
  6. Step 6: Final answer
    x = 1,810,842.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.