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Finding the Third Proportional to 792,225 and 1,192,137

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Solution

The third proportional to 792,225 and 1,192,137 is: 1,793,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,225 : 1,192,137 = 1,192,137 : x
  2. Step 2: Convert to fraction form
    792,225/1,192,137 = 1,192,137/x
  3. Step 3: Cross multiply
    792,225x = 1,192,137 × 1,192,137
  4. Step 4: Simplify right side
    792,225x = 1,421,190,626,769
  5. Step 5: Solve for x
    x = 1,421,190,626,769/792,225
  6. Step 6: Final answer
    x = 1,793,922.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.