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Finding the Third Proportional to 396,832 and 936,600

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Solution

The third proportional to 396,832 and 936,600 is: 2,210,556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,832 : 936,600 = 936,600 : x
  2. Step 2: Convert to fraction form
    396,832/936,600 = 936,600/x
  3. Step 3: Cross multiply
    396,832x = 936,600 × 936,600
  4. Step 4: Simplify right side
    396,832x = 877,219,560,000
  5. Step 5: Solve for x
    x = 877,219,560,000/396,832
  6. Step 6: Final answer
    x = 2,210,556.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.