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Finding the Third Proportional to 542,784 and 1,135,086

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Solution

The third proportional to 542,784 and 1,135,086 is: 2,373,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,784 : 1,135,086 = 1,135,086 : x
  2. Step 2: Convert to fraction form
    542,784/1,135,086 = 1,135,086/x
  3. Step 3: Cross multiply
    542,784x = 1,135,086 × 1,135,086
  4. Step 4: Simplify right side
    542,784x = 1,288,420,227,396
  5. Step 5: Solve for x
    x = 1,288,420,227,396/542,784
  6. Step 6: Final answer
    x = 2,373,725.51

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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.