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Finding the Third Proportional to 1,215,150 and 2,659,144

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Solution

The third proportional to 1,215,150 and 2,659,144 is: 5,819,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,150 : 2,659,144 = 2,659,144 : x
  2. Step 2: Convert to fraction form
    1,215,150/2,659,144 = 2,659,144/x
  3. Step 3: Cross multiply
    1,215,150x = 2,659,144 × 2,659,144
  4. Step 4: Simplify right side
    1,215,150x = 7,071,046,812,736
  5. Step 5: Solve for x
    x = 7,071,046,812,736/1,215,150
  6. Step 6: Final answer
    x = 5,819,073.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.