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Finding the Third Proportional to 444,879 and 978,317

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Solution

The third proportional to 444,879 and 978,317 is: 2,151,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,879 : 978,317 = 978,317 : x
  2. Step 2: Convert to fraction form
    444,879/978,317 = 978,317/x
  3. Step 3: Cross multiply
    444,879x = 978,317 × 978,317
  4. Step 4: Simplify right side
    444,879x = 957,104,152,489
  5. Step 5: Solve for x
    x = 957,104,152,489/444,879
  6. Step 6: Final answer
    x = 2,151,380.83

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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.