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Finding the Third Proportional to 444,734 and 978,033

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Solution

The third proportional to 444,734 and 978,033 is: 2,150,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,734 : 978,033 = 978,033 : x
  2. Step 2: Convert to fraction form
    444,734/978,033 = 978,033/x
  3. Step 3: Cross multiply
    444,734x = 978,033 × 978,033
  4. Step 4: Simplify right side
    444,734x = 956,548,549,089
  5. Step 5: Solve for x
    x = 956,548,549,089/444,734
  6. Step 6: Final answer
    x = 2,150,832.97

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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.