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Finding the Third Proportional to 225,938 and 486,886

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Solution

The third proportional to 225,938 and 486,886 is: 1,049,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,938 : 486,886 = 486,886 : x
  2. Step 2: Convert to fraction form
    225,938/486,886 = 486,886/x
  3. Step 3: Cross multiply
    225,938x = 486,886 × 486,886
  4. Step 4: Simplify right side
    225,938x = 237,057,976,996
  5. Step 5: Solve for x
    x = 237,057,976,996/225,938
  6. Step 6: Final answer
    x = 1,049,216.94

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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.