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Finding the Third Proportional to 396,746 and 936,412

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Solution

The third proportional to 396,746 and 936,412 is: 2,210,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,746 : 936,412 = 936,412 : x
  2. Step 2: Convert to fraction form
    396,746/936,412 = 936,412/x
  3. Step 3: Cross multiply
    396,746x = 936,412 × 936,412
  4. Step 4: Simplify right side
    396,746x = 876,867,433,744
  5. Step 5: Solve for x
    x = 876,867,433,744/396,746
  6. Step 6: Final answer
    x = 2,210,148.14

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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.