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Finding the Third Proportional to 225,936 and 486,891

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Solution

The third proportional to 225,936 and 486,891 is: 1,049,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,936 : 486,891 = 486,891 : x
  2. Step 2: Convert to fraction form
    225,936/486,891 = 486,891/x
  3. Step 3: Cross multiply
    225,936x = 486,891 × 486,891
  4. Step 4: Simplify right side
    225,936x = 237,062,845,881
  5. Step 5: Solve for x
    x = 237,062,845,881/225,936
  6. Step 6: Final answer
    x = 1,049,247.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.