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Finding the Third Proportional to 444,880 and 978,320

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Solution

The third proportional to 444,880 and 978,320 is: 2,151,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,880 : 978,320 = 978,320 : x
  2. Step 2: Convert to fraction form
    444,880/978,320 = 978,320/x
  3. Step 3: Cross multiply
    444,880x = 978,320 × 978,320
  4. Step 4: Simplify right side
    444,880x = 957,110,022,400
  5. Step 5: Solve for x
    x = 957,110,022,400/444,880
  6. Step 6: Final answer
    x = 2,151,389.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.