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Finding the Third Proportional to 444,736 and 978,036

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Solution

The third proportional to 444,736 and 978,036 is: 2,150,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,736 : 978,036 = 978,036 : x
  2. Step 2: Convert to fraction form
    444,736/978,036 = 978,036/x
  3. Step 3: Cross multiply
    444,736x = 978,036 × 978,036
  4. Step 4: Simplify right side
    444,736x = 956,554,417,296
  5. Step 5: Solve for x
    x = 956,554,417,296/444,736
  6. Step 6: Final answer
    x = 2,150,836.49

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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.