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Finding the Third Proportional to 396,036 and 866,928

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Solution

The third proportional to 396,036 and 866,928 is: 1,897,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,036 : 866,928 = 866,928 : x
  2. Step 2: Convert to fraction form
    396,036/866,928 = 866,928/x
  3. Step 3: Cross multiply
    396,036x = 866,928 × 866,928
  4. Step 4: Simplify right side
    396,036x = 751,564,157,184
  5. Step 5: Solve for x
    x = 751,564,157,184/396,036
  6. Step 6: Final answer
    x = 1,897,716.77

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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.