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Finding the Third Proportional to 396,838 and 936,598

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Solution

The third proportional to 396,838 and 936,598 is: 2,210,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,838 : 936,598 = 936,598 : x
  2. Step 2: Convert to fraction form
    396,838/936,598 = 936,598/x
  3. Step 3: Cross multiply
    396,838x = 936,598 × 936,598
  4. Step 4: Simplify right side
    396,838x = 877,215,813,604
  5. Step 5: Solve for x
    x = 877,215,813,604/396,838
  6. Step 6: Final answer
    x = 2,210,513.64

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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.