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Finding the Third Proportional to 741,195 and 1,616,214

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Solution

The third proportional to 741,195 and 1,616,214 is: 3,524,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,195 : 1,616,214 = 1,616,214 : x
  2. Step 2: Convert to fraction form
    741,195/1,616,214 = 1,616,214/x
  3. Step 3: Cross multiply
    741,195x = 1,616,214 × 1,616,214
  4. Step 4: Simplify right side
    741,195x = 2,612,147,693,796
  5. Step 5: Solve for x
    x = 2,612,147,693,796/741,195
  6. Step 6: Final answer
    x = 3,524,238.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.