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Finding the Third Proportional to 516,384 and 1,126,224

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Solution

The third proportional to 516,384 and 1,126,224 is: 2,456,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,384 : 1,126,224 = 1,126,224 : x
  2. Step 2: Convert to fraction form
    516,384/1,126,224 = 1,126,224/x
  3. Step 3: Cross multiply
    516,384x = 1,126,224 × 1,126,224
  4. Step 4: Simplify right side
    516,384x = 1,268,380,498,176
  5. Step 5: Solve for x
    x = 1,268,380,498,176/516,384
  6. Step 6: Final answer
    x = 2,456,273.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.