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Finding the Third Proportional to 411,224 and 951,928

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Solution

The third proportional to 411,224 and 951,928 is: 2,203,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,224 : 951,928 = 951,928 : x
  2. Step 2: Convert to fraction form
    411,224/951,928 = 951,928/x
  3. Step 3: Cross multiply
    411,224x = 951,928 × 951,928
  4. Step 4: Simplify right side
    411,224x = 906,166,917,184
  5. Step 5: Solve for x
    x = 906,166,917,184/411,224
  6. Step 6: Final answer
    x = 2,203,584.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.