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Finding the Third Proportional to 539,350 and 1,172,828

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Solution

The third proportional to 539,350 and 1,172,828 is: 2,550,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,350 : 1,172,828 = 1,172,828 : x
  2. Step 2: Convert to fraction form
    539,350/1,172,828 = 1,172,828/x
  3. Step 3: Cross multiply
    539,350x = 1,172,828 × 1,172,828
  4. Step 4: Simplify right side
    539,350x = 1,375,525,517,584
  5. Step 5: Solve for x
    x = 1,375,525,517,584/539,350
  6. Step 6: Final answer
    x = 2,550,339.33

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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.