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Finding the Third Proportional to 449,917 and 978,566

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Solution

The third proportional to 449,917 and 978,566 is: 2,128,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,917 : 978,566 = 978,566 : x
  2. Step 2: Convert to fraction form
    449,917/978,566 = 978,566/x
  3. Step 3: Cross multiply
    449,917x = 978,566 × 978,566
  4. Step 4: Simplify right side
    449,917x = 957,591,416,356
  5. Step 5: Solve for x
    x = 957,591,416,356/449,917
  6. Step 6: Final answer
    x = 2,128,373.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.