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Finding the Third Proportional to 542,736 and 1,134,990

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Solution

The third proportional to 542,736 and 1,134,990 is: 2,373,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,736 : 1,134,990 = 1,134,990 : x
  2. Step 2: Convert to fraction form
    542,736/1,134,990 = 1,134,990/x
  3. Step 3: Cross multiply
    542,736x = 1,134,990 × 1,134,990
  4. Step 4: Simplify right side
    542,736x = 1,288,202,300,100
  5. Step 5: Solve for x
    x = 1,288,202,300,100/542,736
  6. Step 6: Final answer
    x = 2,373,533.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.