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Finding the Third Proportional to 576,240 and 1,257,456

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Solution

The third proportional to 576,240 and 1,257,456 is: 2,743,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,240 : 1,257,456 = 1,257,456 : x
  2. Step 2: Convert to fraction form
    576,240/1,257,456 = 1,257,456/x
  3. Step 3: Cross multiply
    576,240x = 1,257,456 × 1,257,456
  4. Step 4: Simplify right side
    576,240x = 1,581,195,591,936
  5. Step 5: Solve for x
    x = 1,581,195,591,936/576,240
  6. Step 6: Final answer
    x = 2,743,987.91

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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.