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Finding the Third Proportional to 396,089 and 824,818

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Solution

The third proportional to 396,089 and 824,818 is: 1,717,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,089 : 824,818 = 824,818 : x
  2. Step 2: Convert to fraction form
    396,089/824,818 = 824,818/x
  3. Step 3: Cross multiply
    396,089x = 824,818 × 824,818
  4. Step 4: Simplify right side
    396,089x = 680,324,733,124
  5. Step 5: Solve for x
    x = 680,324,733,124/396,089
  6. Step 6: Final answer
    x = 1,717,605.72

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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.