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Finding the Third Proportional to 454,171 and 985,616

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Solution

The third proportional to 454,171 and 985,616 is: 2,138,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,171 : 985,616 = 985,616 : x
  2. Step 2: Convert to fraction form
    454,171/985,616 = 985,616/x
  3. Step 3: Cross multiply
    454,171x = 985,616 × 985,616
  4. Step 4: Simplify right side
    454,171x = 971,438,899,456
  5. Step 5: Solve for x
    x = 971,438,899,456/454,171
  6. Step 6: Final answer
    x = 2,138,927.63

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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.