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Finding the Third Proportional to 444,867 and 978,293

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Solution

The third proportional to 444,867 and 978,293 is: 2,151,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,867 : 978,293 = 978,293 : x
  2. Step 2: Convert to fraction form
    444,867/978,293 = 978,293/x
  3. Step 3: Cross multiply
    444,867x = 978,293 × 978,293
  4. Step 4: Simplify right side
    444,867x = 957,057,193,849
  5. Step 5: Solve for x
    x = 957,057,193,849/444,867
  6. Step 6: Final answer
    x = 2,151,333.31

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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.