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Finding the Third Proportional to 444,838 and 978,216

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Solution

The third proportional to 444,838 and 978,216 is: 2,151,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,838 : 978,216 = 978,216 : x
  2. Step 2: Convert to fraction form
    444,838/978,216 = 978,216/x
  3. Step 3: Cross multiply
    444,838x = 978,216 × 978,216
  4. Step 4: Simplify right side
    444,838x = 956,906,542,656
  5. Step 5: Solve for x
    x = 956,906,542,656/444,838
  6. Step 6: Final answer
    x = 2,151,134.89

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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.