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Finding the Third Proportional to 444,877 and 978,313

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Solution

The third proportional to 444,877 and 978,313 is: 2,151,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,877 : 978,313 = 978,313 : x
  2. Step 2: Convert to fraction form
    444,877/978,313 = 978,313/x
  3. Step 3: Cross multiply
    444,877x = 978,313 × 978,313
  4. Step 4: Simplify right side
    444,877x = 957,096,325,969
  5. Step 5: Solve for x
    x = 957,096,325,969/444,877
  6. Step 6: Final answer
    x = 2,151,372.91

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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.