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Finding the Third Proportional to 1,227,311 and 2,625,189

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Solution

The third proportional to 1,227,311 and 2,625,189 is: 5,615,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,311 : 2,625,189 = 2,625,189 : x
  2. Step 2: Convert to fraction form
    1,227,311/2,625,189 = 2,625,189/x
  3. Step 3: Cross multiply
    1,227,311x = 2,625,189 × 2,625,189
  4. Step 4: Simplify right side
    1,227,311x = 6,891,617,285,721
  5. Step 5: Solve for x
    x = 6,891,617,285,721/1,227,311
  6. Step 6: Final answer
    x = 5,615,216.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.