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Finding the Third Proportional to 542,734 and 1,134,986

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Solution

The third proportional to 542,734 and 1,134,986 is: 2,373,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,734 : 1,134,986 = 1,134,986 : x
  2. Step 2: Convert to fraction form
    542,734/1,134,986 = 1,134,986/x
  3. Step 3: Cross multiply
    542,734x = 1,134,986 × 1,134,986
  4. Step 4: Simplify right side
    542,734x = 1,288,193,220,196
  5. Step 5: Solve for x
    x = 1,288,193,220,196/542,734
  6. Step 6: Final answer
    x = 2,373,525.93

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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.