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Finding the Third Proportional to 396,038 and 866,932

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Solution

The third proportional to 396,038 and 866,932 is: 1,897,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,038 : 866,932 = 866,932 : x
  2. Step 2: Convert to fraction form
    396,038/866,932 = 866,932/x
  3. Step 3: Cross multiply
    396,038x = 866,932 × 866,932
  4. Step 4: Simplify right side
    396,038x = 751,571,092,624
  5. Step 5: Solve for x
    x = 751,571,092,624/396,038
  6. Step 6: Final answer
    x = 1,897,724.69

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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.