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Finding the Third Proportional to 444,872 and 978,302

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Solution

The third proportional to 444,872 and 978,302 is: 2,151,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,872 : 978,302 = 978,302 : x
  2. Step 2: Convert to fraction form
    444,872/978,302 = 978,302/x
  3. Step 3: Cross multiply
    444,872x = 978,302 × 978,302
  4. Step 4: Simplify right side
    444,872x = 957,074,803,204
  5. Step 5: Solve for x
    x = 957,074,803,204/444,872
  6. Step 6: Final answer
    x = 2,151,348.71

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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.