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Finding the Third Proportional to 512,272 and 1,103,456

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Solution

The third proportional to 512,272 and 1,103,456 is: 2,376,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,272 : 1,103,456 = 1,103,456 : x
  2. Step 2: Convert to fraction form
    512,272/1,103,456 = 1,103,456/x
  3. Step 3: Cross multiply
    512,272x = 1,103,456 × 1,103,456
  4. Step 4: Simplify right side
    512,272x = 1,217,615,143,936
  5. Step 5: Solve for x
    x = 1,217,615,143,936/512,272
  6. Step 6: Final answer
    x = 2,376,891.85

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