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Finding the Third Proportional to 222,419 and 489,110

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Solution

The third proportional to 222,419 and 489,110 is: 1,075,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,419 : 489,110 = 489,110 : x
  2. Step 2: Convert to fraction form
    222,419/489,110 = 489,110/x
  3. Step 3: Cross multiply
    222,419x = 489,110 × 489,110
  4. Step 4: Simplify right side
    222,419x = 239,228,592,100
  5. Step 5: Solve for x
    x = 239,228,592,100/222,419
  6. Step 6: Final answer
    x = 1,075,576.24

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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.