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Finding the Third Proportional to 1,275,625 and 2,754,175

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Solution

The third proportional to 1,275,625 and 2,754,175 is: 5,946,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,625 : 2,754,175 = 2,754,175 : x
  2. Step 2: Convert to fraction form
    1,275,625/2,754,175 = 2,754,175/x
  3. Step 3: Cross multiply
    1,275,625x = 2,754,175 × 2,754,175
  4. Step 4: Simplify right side
    1,275,625x = 7,585,479,930,625
  5. Step 5: Solve for x
    x = 7,585,479,930,625/1,275,625
  6. Step 6: Final answer
    x = 5,946,481.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.