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Finding the Third Proportional to 444,864 and 978,287

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Solution

The third proportional to 444,864 and 978,287 is: 2,151,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,864 : 978,287 = 978,287 : x
  2. Step 2: Convert to fraction form
    444,864/978,287 = 978,287/x
  3. Step 3: Cross multiply
    444,864x = 978,287 × 978,287
  4. Step 4: Simplify right side
    444,864x = 957,045,454,369
  5. Step 5: Solve for x
    x = 957,045,454,369/444,864
  6. Step 6: Final answer
    x = 2,151,321.42

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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.