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Finding the Third Proportional to 444,868 and 978,295

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Solution

The third proportional to 444,868 and 978,295 is: 2,151,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,868 : 978,295 = 978,295 : x
  2. Step 2: Convert to fraction form
    444,868/978,295 = 978,295/x
  3. Step 3: Cross multiply
    444,868x = 978,295 × 978,295
  4. Step 4: Simplify right side
    444,868x = 957,061,107,025
  5. Step 5: Solve for x
    x = 957,061,107,025/444,868
  6. Step 6: Final answer
    x = 2,151,337.27

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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.