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Finding the Third Proportional to 482,493 and 1,031,247

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Solution

The third proportional to 482,493 and 1,031,247 is: 2,204,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,493 : 1,031,247 = 1,031,247 : x
  2. Step 2: Convert to fraction form
    482,493/1,031,247 = 1,031,247/x
  3. Step 3: Cross multiply
    482,493x = 1,031,247 × 1,031,247
  4. Step 4: Simplify right side
    482,493x = 1,063,470,375,009
  5. Step 5: Solve for x
    x = 1,063,470,375,009/482,493
  6. Step 6: Final answer
    x = 2,204,115.66

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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.