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Finding the Third Proportional to 451,906 and 994,100

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Solution

The third proportional to 451,906 and 994,100 is: 2,186,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,906 : 994,100 = 994,100 : x
  2. Step 2: Convert to fraction form
    451,906/994,100 = 994,100/x
  3. Step 3: Cross multiply
    451,906x = 994,100 × 994,100
  4. Step 4: Simplify right side
    451,906x = 988,234,810,000
  5. Step 5: Solve for x
    x = 988,234,810,000/451,906
  6. Step 6: Final answer
    x = 2,186,814.98

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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.