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Finding the Third Proportional to 576,918 and 1,251,180

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Solution

The third proportional to 576,918 and 1,251,180 is: 2,713,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,918 : 1,251,180 = 1,251,180 : x
  2. Step 2: Convert to fraction form
    576,918/1,251,180 = 1,251,180/x
  3. Step 3: Cross multiply
    576,918x = 1,251,180 × 1,251,180
  4. Step 4: Simplify right side
    576,918x = 1,565,451,392,400
  5. Step 5: Solve for x
    x = 1,565,451,392,400/576,918
  6. Step 6: Final answer
    x = 2,713,472.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.