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Finding the Third Proportional to 444,736 and 978,038

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Solution

The third proportional to 444,736 and 978,038 is: 2,150,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,736 : 978,038 = 978,038 : x
  2. Step 2: Convert to fraction form
    444,736/978,038 = 978,038/x
  3. Step 3: Cross multiply
    444,736x = 978,038 × 978,038
  4. Step 4: Simplify right side
    444,736x = 956,558,329,444
  5. Step 5: Solve for x
    x = 956,558,329,444/444,736
  6. Step 6: Final answer
    x = 2,150,845.29

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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.