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Finding the Third Proportional to 449,874 and 978,478

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Solution

The third proportional to 449,874 and 978,478 is: 2,128,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,874 : 978,478 = 978,478 : x
  2. Step 2: Convert to fraction form
    449,874/978,478 = 978,478/x
  3. Step 3: Cross multiply
    449,874x = 978,478 × 978,478
  4. Step 4: Simplify right side
    449,874x = 957,419,196,484
  5. Step 5: Solve for x
    x = 957,419,196,484/449,874
  6. Step 6: Final answer
    x = 2,128,194.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.