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Finding the Third Proportional to 1,143,400 and 2,257,882

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Solution

The third proportional to 1,143,400 and 2,257,882 is: 4,458,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,400 : 2,257,882 = 2,257,882 : x
  2. Step 2: Convert to fraction form
    1,143,400/2,257,882 = 2,257,882/x
  3. Step 3: Cross multiply
    1,143,400x = 2,257,882 × 2,257,882
  4. Step 4: Simplify right side
    1,143,400x = 5,098,031,125,924
  5. Step 5: Solve for x
    x = 5,098,031,125,924/1,143,400
  6. Step 6: Final answer
    x = 4,458,659.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.