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Finding the Third Proportional to 493,102 and 1,061,116

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Solution

The third proportional to 493,102 and 1,061,116 is: 2,283,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,102 : 1,061,116 = 1,061,116 : x
  2. Step 2: Convert to fraction form
    493,102/1,061,116 = 1,061,116/x
  3. Step 3: Cross multiply
    493,102x = 1,061,116 × 1,061,116
  4. Step 4: Simplify right side
    493,102x = 1,125,967,165,456
  5. Step 5: Solve for x
    x = 1,125,967,165,456/493,102
  6. Step 6: Final answer
    x = 2,283,436.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.