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Finding the Third Proportional to 1,542,387 and 3,342,193

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Solution

The third proportional to 1,542,387 and 3,342,193 is: 7,242,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,387 : 3,342,193 = 3,342,193 : x
  2. Step 2: Convert to fraction form
    1,542,387/3,342,193 = 3,342,193/x
  3. Step 3: Cross multiply
    1,542,387x = 3,342,193 × 3,342,193
  4. Step 4: Simplify right side
    1,542,387x = 11,170,254,049,249
  5. Step 5: Solve for x
    x = 11,170,254,049,249/1,542,387
  6. Step 6: Final answer
    x = 7,242,186.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.