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Finding the Third Proportional to 519,744 and 1,119,696

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Solution

The third proportional to 519,744 and 1,119,696 is: 2,412,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,744 : 1,119,696 = 1,119,696 : x
  2. Step 2: Convert to fraction form
    519,744/1,119,696 = 1,119,696/x
  3. Step 3: Cross multiply
    519,744x = 1,119,696 × 1,119,696
  4. Step 4: Simplify right side
    519,744x = 1,253,719,132,416
  5. Step 5: Solve for x
    x = 1,253,719,132,416/519,744
  6. Step 6: Final answer
    x = 2,412,185.87

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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.