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Finding the Third Proportional to 451,898 and 994,084

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Solution

The third proportional to 451,898 and 994,084 is: 2,186,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,898 : 994,084 = 994,084 : x
  2. Step 2: Convert to fraction form
    451,898/994,084 = 994,084/x
  3. Step 3: Cross multiply
    451,898x = 994,084 × 994,084
  4. Step 4: Simplify right side
    451,898x = 988,202,999,056
  5. Step 5: Solve for x
    x = 988,202,999,056/451,898
  6. Step 6: Final answer
    x = 2,186,783.30

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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.