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Finding the Third Proportional to 498,192 and 1,092,135

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Solution

The third proportional to 498,192 and 1,092,135 is: 2,394,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,192 : 1,092,135 = 1,092,135 : x
  2. Step 2: Convert to fraction form
    498,192/1,092,135 = 1,092,135/x
  3. Step 3: Cross multiply
    498,192x = 1,092,135 × 1,092,135
  4. Step 4: Simplify right side
    498,192x = 1,192,758,858,225
  5. Step 5: Solve for x
    x = 1,192,758,858,225/498,192
  6. Step 6: Final answer
    x = 2,394,175.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.