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Finding the Third Proportional to 920,197 and 1,885,016

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Solution

The third proportional to 920,197 and 1,885,016 is: 3,861,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,197 : 1,885,016 = 1,885,016 : x
  2. Step 2: Convert to fraction form
    920,197/1,885,016 = 1,885,016/x
  3. Step 3: Cross multiply
    920,197x = 1,885,016 × 1,885,016
  4. Step 4: Simplify right side
    920,197x = 3,553,285,320,256
  5. Step 5: Solve for x
    x = 3,553,285,320,256/920,197
  6. Step 6: Final answer
    x = 3,861,439.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.