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Finding the Third Proportional to 444,880 and 978,318

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Solution

The third proportional to 444,880 and 978,318 is: 2,151,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,880 : 978,318 = 978,318 : x
  2. Step 2: Convert to fraction form
    444,880/978,318 = 978,318/x
  3. Step 3: Cross multiply
    444,880x = 978,318 × 978,318
  4. Step 4: Simplify right side
    444,880x = 957,106,109,124
  5. Step 5: Solve for x
    x = 957,106,109,124/444,880
  6. Step 6: Final answer
    x = 2,151,380.39

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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.