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Finding the Third Proportional to 519,756 and 1,119,719

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Solution

The third proportional to 519,756 and 1,119,719 is: 2,412,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,756 : 1,119,719 = 1,119,719 : x
  2. Step 2: Convert to fraction form
    519,756/1,119,719 = 1,119,719/x
  3. Step 3: Cross multiply
    519,756x = 1,119,719 × 1,119,719
  4. Step 4: Simplify right side
    519,756x = 1,253,770,638,961
  5. Step 5: Solve for x
    x = 1,253,770,638,961/519,756
  6. Step 6: Final answer
    x = 2,412,229.27

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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.