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Finding the Third Proportional to 869,204 and 1,383,079

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Solution

The third proportional to 869,204 and 1,383,079 is: 2,200,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,204 : 1,383,079 = 1,383,079 : x
  2. Step 2: Convert to fraction form
    869,204/1,383,079 = 1,383,079/x
  3. Step 3: Cross multiply
    869,204x = 1,383,079 × 1,383,079
  4. Step 4: Simplify right side
    869,204x = 1,912,907,520,241
  5. Step 5: Solve for x
    x = 1,912,907,520,241/869,204
  6. Step 6: Final answer
    x = 2,200,757.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.