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Finding the Third Proportional to 422,380 and 919,116

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Solution

The third proportional to 422,380 and 919,116 is: 2,000,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,380 : 919,116 = 919,116 : x
  2. Step 2: Convert to fraction form
    422,380/919,116 = 919,116/x
  3. Step 3: Cross multiply
    422,380x = 919,116 × 919,116
  4. Step 4: Simplify right side
    422,380x = 844,774,221,456
  5. Step 5: Solve for x
    x = 844,774,221,456/422,380
  6. Step 6: Final answer
    x = 2,000,033.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.