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Finding the Third Proportional to 539,800 and 1,161,328

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Solution

The third proportional to 539,800 and 1,161,328 is: 2,498,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,800 : 1,161,328 = 1,161,328 : x
  2. Step 2: Convert to fraction form
    539,800/1,161,328 = 1,161,328/x
  3. Step 3: Cross multiply
    539,800x = 1,161,328 × 1,161,328
  4. Step 4: Simplify right side
    539,800x = 1,348,682,723,584
  5. Step 5: Solve for x
    x = 1,348,682,723,584/539,800
  6. Step 6: Final answer
    x = 2,498,485.96

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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.