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Finding the Third Proportional to 853,586 and 1,867,876

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Solution

The third proportional to 853,586 and 1,867,876 is: 4,087,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,586 : 1,867,876 = 1,867,876 : x
  2. Step 2: Convert to fraction form
    853,586/1,867,876 = 1,867,876/x
  3. Step 3: Cross multiply
    853,586x = 1,867,876 × 1,867,876
  4. Step 4: Simplify right side
    853,586x = 3,488,960,751,376
  5. Step 5: Solve for x
    x = 3,488,960,751,376/853,586
  6. Step 6: Final answer
    x = 4,087,415.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.