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Finding the Third Proportional to 444,826 and 978,195

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Solution

The third proportional to 444,826 and 978,195 is: 2,151,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,826 : 978,195 = 978,195 : x
  2. Step 2: Convert to fraction form
    444,826/978,195 = 978,195/x
  3. Step 3: Cross multiply
    444,826x = 978,195 × 978,195
  4. Step 4: Simplify right side
    444,826x = 956,865,458,025
  5. Step 5: Solve for x
    x = 956,865,458,025/444,826
  6. Step 6: Final answer
    x = 2,151,100.56

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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.