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Finding the Third Proportional to 519,758 and 1,119,724

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Solution

The third proportional to 519,758 and 1,119,724 is: 2,412,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,758 : 1,119,724 = 1,119,724 : x
  2. Step 2: Convert to fraction form
    519,758/1,119,724 = 1,119,724/x
  3. Step 3: Cross multiply
    519,758x = 1,119,724 × 1,119,724
  4. Step 4: Simplify right side
    519,758x = 1,253,781,836,176
  5. Step 5: Solve for x
    x = 1,253,781,836,176/519,758
  6. Step 6: Final answer
    x = 2,412,241.54

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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.