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Finding the Third Proportional to 664,519 and 1,449,312

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Solution

The third proportional to 664,519 and 1,449,312 is: 3,160,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,519 : 1,449,312 = 1,449,312 : x
  2. Step 2: Convert to fraction form
    664,519/1,449,312 = 1,449,312/x
  3. Step 3: Cross multiply
    664,519x = 1,449,312 × 1,449,312
  4. Step 4: Simplify right side
    664,519x = 2,100,505,273,344
  5. Step 5: Solve for x
    x = 2,100,505,273,344/664,519
  6. Step 6: Final answer
    x = 3,160,940.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.