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Finding the Third Proportional to 221,972 and 489,192

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Solution

The third proportional to 221,972 and 489,192 is: 1,078,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,972 : 489,192 = 489,192 : x
  2. Step 2: Convert to fraction form
    221,972/489,192 = 489,192/x
  3. Step 3: Cross multiply
    221,972x = 489,192 × 489,192
  4. Step 4: Simplify right side
    221,972x = 239,308,812,864
  5. Step 5: Solve for x
    x = 239,308,812,864/221,972
  6. Step 6: Final answer
    x = 1,078,103.60

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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.