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Finding the Third Proportional to 396,109 and 864,797

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Solution

The third proportional to 396,109 and 864,797 is: 1,888,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,109 : 864,797 = 864,797 : x
  2. Step 2: Convert to fraction form
    396,109/864,797 = 864,797/x
  3. Step 3: Cross multiply
    396,109x = 864,797 × 864,797
  4. Step 4: Simplify right side
    396,109x = 747,873,851,209
  5. Step 5: Solve for x
    x = 747,873,851,209/396,109
  6. Step 6: Final answer
    x = 1,888,050.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.