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Finding the Third Proportional to 793,340 and 1,744,144

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Solution

The third proportional to 793,340 and 1,744,144 is: 3,834,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,340 : 1,744,144 = 1,744,144 : x
  2. Step 2: Convert to fraction form
    793,340/1,744,144 = 1,744,144/x
  3. Step 3: Cross multiply
    793,340x = 1,744,144 × 1,744,144
  4. Step 4: Simplify right side
    793,340x = 3,042,038,292,736
  5. Step 5: Solve for x
    x = 3,042,038,292,736/793,340
  6. Step 6: Final answer
    x = 3,834,469.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.