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Finding the Third Proportional to 491,736 and 1,062,204

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Solution

The third proportional to 491,736 and 1,062,204 is: 2,294,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,736 : 1,062,204 = 1,062,204 : x
  2. Step 2: Convert to fraction form
    491,736/1,062,204 = 1,062,204/x
  3. Step 3: Cross multiply
    491,736x = 1,062,204 × 1,062,204
  4. Step 4: Simplify right side
    491,736x = 1,128,277,337,616
  5. Step 5: Solve for x
    x = 1,128,277,337,616/491,736
  6. Step 6: Final answer
    x = 2,294,477.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.