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Finding the Third Proportional to 512,691 and 1,104,267

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Solution

The third proportional to 512,691 and 1,104,267 is: 2,378,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,691 : 1,104,267 = 1,104,267 : x
  2. Step 2: Convert to fraction form
    512,691/1,104,267 = 1,104,267/x
  3. Step 3: Cross multiply
    512,691x = 1,104,267 × 1,104,267
  4. Step 4: Simplify right side
    512,691x = 1,219,405,607,289
  5. Step 5: Solve for x
    x = 1,219,405,607,289/512,691
  6. Step 6: Final answer
    x = 2,378,441.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.