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Finding the Third Proportional to 225,916 and 486,822

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Solution

The third proportional to 225,916 and 486,822 is: 1,049,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,916 : 486,822 = 486,822 : x
  2. Step 2: Convert to fraction form
    225,916/486,822 = 486,822/x
  3. Step 3: Cross multiply
    225,916x = 486,822 × 486,822
  4. Step 4: Simplify right side
    225,916x = 236,995,659,684
  5. Step 5: Solve for x
    x = 236,995,659,684/225,916
  6. Step 6: Final answer
    x = 1,049,043.27

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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.