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Finding the Third Proportional to 396,104 and 824,846

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Solution

The third proportional to 396,104 and 824,846 is: 1,717,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,104 : 824,846 = 824,846 : x
  2. Step 2: Convert to fraction form
    396,104/824,846 = 824,846/x
  3. Step 3: Cross multiply
    396,104x = 824,846 × 824,846
  4. Step 4: Simplify right side
    396,104x = 680,370,923,716
  5. Step 5: Solve for x
    x = 680,370,923,716/396,104
  6. Step 6: Final answer
    x = 1,717,657.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.