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Finding the Third Proportional to 541,193 and 1,168,191

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Solution

The third proportional to 541,193 and 1,168,191 is: 2,521,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,193 : 1,168,191 = 1,168,191 : x
  2. Step 2: Convert to fraction form
    541,193/1,168,191 = 1,168,191/x
  3. Step 3: Cross multiply
    541,193x = 1,168,191 × 1,168,191
  4. Step 4: Simplify right side
    541,193x = 1,364,670,212,481
  5. Step 5: Solve for x
    x = 1,364,670,212,481/541,193
  6. Step 6: Final answer
    x = 2,521,596.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.