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Finding the Third Proportional to 482,508 and 1,031,277

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Solution

The third proportional to 482,508 and 1,031,277 is: 2,204,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,508 : 1,031,277 = 1,031,277 : x
  2. Step 2: Convert to fraction form
    482,508/1,031,277 = 1,031,277/x
  3. Step 3: Cross multiply
    482,508x = 1,031,277 × 1,031,277
  4. Step 4: Simplify right side
    482,508x = 1,063,532,250,729
  5. Step 5: Solve for x
    x = 1,063,532,250,729/482,508
  6. Step 6: Final answer
    x = 2,204,175.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.