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Finding the Third Proportional to 444,814 and 978,171

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Solution

The third proportional to 444,814 and 978,171 is: 2,151,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,814 : 978,171 = 978,171 : x
  2. Step 2: Convert to fraction form
    444,814/978,171 = 978,171/x
  3. Step 3: Cross multiply
    444,814x = 978,171 × 978,171
  4. Step 4: Simplify right side
    444,814x = 956,818,505,241
  5. Step 5: Solve for x
    x = 956,818,505,241/444,814
  6. Step 6: Final answer
    x = 2,151,053.04

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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.