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Finding the Third Proportional to 599,366 and 1,275,016

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Solution

The third proportional to 599,366 and 1,275,016 is: 2,712,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,366 : 1,275,016 = 1,275,016 : x
  2. Step 2: Convert to fraction form
    599,366/1,275,016 = 1,275,016/x
  3. Step 3: Cross multiply
    599,366x = 1,275,016 × 1,275,016
  4. Step 4: Simplify right side
    599,366x = 1,625,665,800,256
  5. Step 5: Solve for x
    x = 1,625,665,800,256/599,366
  6. Step 6: Final answer
    x = 2,712,309.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.