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Finding the Third Proportional to 226,869 and 489,093

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Solution

The third proportional to 226,869 and 489,093 is: 1,054,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,869 : 489,093 = 489,093 : x
  2. Step 2: Convert to fraction form
    226,869/489,093 = 489,093/x
  3. Step 3: Cross multiply
    226,869x = 489,093 × 489,093
  4. Step 4: Simplify right side
    226,869x = 239,211,962,649
  5. Step 5: Solve for x
    x = 239,211,962,649/226,869
  6. Step 6: Final answer
    x = 1,054,405.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.