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Finding the Third Proportional to 516,247 and 1,107,227

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Solution

The third proportional to 516,247 and 1,107,227 is: 2,374,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,247 : 1,107,227 = 1,107,227 : x
  2. Step 2: Convert to fraction form
    516,247/1,107,227 = 1,107,227/x
  3. Step 3: Cross multiply
    516,247x = 1,107,227 × 1,107,227
  4. Step 4: Simplify right side
    516,247x = 1,225,951,629,529
  5. Step 5: Solve for x
    x = 1,225,951,629,529/516,247
  6. Step 6: Final answer
    x = 2,374,738.51

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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.