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Finding the Third Proportional to 444,734 and 978,032

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Solution

The third proportional to 444,734 and 978,032 is: 2,150,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,734 : 978,032 = 978,032 : x
  2. Step 2: Convert to fraction form
    444,734/978,032 = 978,032/x
  3. Step 3: Cross multiply
    444,734x = 978,032 × 978,032
  4. Step 4: Simplify right side
    444,734x = 956,546,593,024
  5. Step 5: Solve for x
    x = 956,546,593,024/444,734
  6. Step 6: Final answer
    x = 2,150,828.57

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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.