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Finding the Third Proportional to 225,912 and 486,814

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Solution

The third proportional to 225,912 and 486,814 is: 1,049,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,912 : 486,814 = 486,814 : x
  2. Step 2: Convert to fraction form
    225,912/486,814 = 486,814/x
  3. Step 3: Cross multiply
    225,912x = 486,814 × 486,814
  4. Step 4: Simplify right side
    225,912x = 236,987,870,596
  5. Step 5: Solve for x
    x = 236,987,870,596/225,912
  6. Step 6: Final answer
    x = 1,049,027.37

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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.