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Finding the Third Proportional to 396,752 and 936,419

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Solution

The third proportional to 396,752 and 936,419 is: 2,210,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,752 : 936,419 = 936,419 : x
  2. Step 2: Convert to fraction form
    396,752/936,419 = 936,419/x
  3. Step 3: Cross multiply
    396,752x = 936,419 × 936,419
  4. Step 4: Simplify right side
    396,752x = 876,880,543,561
  5. Step 5: Solve for x
    x = 876,880,543,561/396,752
  6. Step 6: Final answer
    x = 2,210,147.76

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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.