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Finding the Third Proportional to 396,836 and 936,610

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Solution

The third proportional to 396,836 and 936,610 is: 2,210,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,836 : 936,610 = 936,610 : x
  2. Step 2: Convert to fraction form
    396,836/936,610 = 936,610/x
  3. Step 3: Cross multiply
    396,836x = 936,610 × 936,610
  4. Step 4: Simplify right side
    396,836x = 877,238,292,100
  5. Step 5: Solve for x
    x = 877,238,292,100/396,836
  6. Step 6: Final answer
    x = 2,210,581.43

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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.