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Finding the Third Proportional to 639,750 and 1,358,214

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Solution

The third proportional to 639,750 and 1,358,214 is: 2,883,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,750 : 1,358,214 = 1,358,214 : x
  2. Step 2: Convert to fraction form
    639,750/1,358,214 = 1,358,214/x
  3. Step 3: Cross multiply
    639,750x = 1,358,214 × 1,358,214
  4. Step 4: Simplify right side
    639,750x = 1,844,745,269,796
  5. Step 5: Solve for x
    x = 1,844,745,269,796/639,750
  6. Step 6: Final answer
    x = 2,883,540.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.