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Finding the Third Proportional to 396,040 and 866,936

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Solution

The third proportional to 396,040 and 866,936 is: 1,897,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,040 : 866,936 = 866,936 : x
  2. Step 2: Convert to fraction form
    396,040/866,936 = 866,936/x
  3. Step 3: Cross multiply
    396,040x = 866,936 × 866,936
  4. Step 4: Simplify right side
    396,040x = 751,578,028,096
  5. Step 5: Solve for x
    x = 751,578,028,096/396,040
  6. Step 6: Final answer
    x = 1,897,732.62

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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.