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Finding the Third Proportional to 542,980 and 1,169,200

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Solution

The third proportional to 542,980 and 1,169,200 is: 2,517,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,980 : 1,169,200 = 1,169,200 : x
  2. Step 2: Convert to fraction form
    542,980/1,169,200 = 1,169,200/x
  3. Step 3: Cross multiply
    542,980x = 1,169,200 × 1,169,200
  4. Step 4: Simplify right side
    542,980x = 1,367,028,640,000
  5. Step 5: Solve for x
    x = 1,367,028,640,000/542,980
  6. Step 6: Final answer
    x = 2,517,640.87

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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.