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Finding the Third Proportional to 1,227,305 and 2,625,184

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Solution

The third proportional to 1,227,305 and 2,625,184 is: 5,615,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,305 : 2,625,184 = 2,625,184 : x
  2. Step 2: Convert to fraction form
    1,227,305/2,625,184 = 2,625,184/x
  3. Step 3: Cross multiply
    1,227,305x = 2,625,184 × 2,625,184
  4. Step 4: Simplify right side
    1,227,305x = 6,891,591,033,856
  5. Step 5: Solve for x
    x = 6,891,591,033,856/1,227,305
  6. Step 6: Final answer
    x = 5,615,222.81

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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.