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Finding the Third Proportional to 1,080,720 and 1,695,251.25

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Solution

The third proportional to 1,080,720 and 1,695,251.25 is: 2,659,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,720 : 1,695,251.25 = 1,695,251.25 : x
  2. Step 2: Convert to fraction form
    1,080,720/1,695,251.25 = 1,695,251.25/x
  3. Step 3: Cross multiply
    1,080,720x = 1,695,251.25 × 1,695,251.25
  4. Step 4: Simplify right side
    1,080,720x = 2,873,876,800,626.56
  5. Step 5: Solve for x
    x = 2,873,876,800,626.56/1,080,720
  6. Step 6: Final answer
    x = 2,659,224.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.