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Finding the Third Proportional to 396,834 and 936,588

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Solution

The third proportional to 396,834 and 936,588 is: 2,210,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,834 : 936,588 = 936,588 : x
  2. Step 2: Convert to fraction form
    396,834/936,588 = 936,588/x
  3. Step 3: Cross multiply
    396,834x = 936,588 × 936,588
  4. Step 4: Simplify right side
    396,834x = 877,197,081,744
  5. Step 5: Solve for x
    x = 877,197,081,744/396,834
  6. Step 6: Final answer
    x = 2,210,488.72

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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.