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Finding the Third Proportional to 2,082,214 and 3,149,565

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Solution

The third proportional to 2,082,214 and 3,149,565 is: 4,764,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,214 : 3,149,565 = 3,149,565 : x
  2. Step 2: Convert to fraction form
    2,082,214/3,149,565 = 3,149,565/x
  3. Step 3: Cross multiply
    2,082,214x = 3,149,565 × 3,149,565
  4. Step 4: Simplify right side
    2,082,214x = 9,919,759,689,225
  5. Step 5: Solve for x
    x = 9,919,759,689,225/2,082,214
  6. Step 6: Final answer
    x = 4,764,044.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.