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Finding the Third Proportional to 812,016 and 1,786,032

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Solution

The third proportional to 812,016 and 1,786,032 is: 3,928,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,016 : 1,786,032 = 1,786,032 : x
  2. Step 2: Convert to fraction form
    812,016/1,786,032 = 1,786,032/x
  3. Step 3: Cross multiply
    812,016x = 1,786,032 × 1,786,032
  4. Step 4: Simplify right side
    812,016x = 3,189,910,305,024
  5. Step 5: Solve for x
    x = 3,189,910,305,024/812,016
  6. Step 6: Final answer
    x = 3,928,383.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.