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Finding the Third Proportional to 541,198 and 1,174,624

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Solution

The third proportional to 541,198 and 1,174,624 is: 2,549,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,198 : 1,174,624 = 1,174,624 : x
  2. Step 2: Convert to fraction form
    541,198/1,174,624 = 1,174,624/x
  3. Step 3: Cross multiply
    541,198x = 1,174,624 × 1,174,624
  4. Step 4: Simplify right side
    541,198x = 1,379,741,541,376
  5. Step 5: Solve for x
    x = 1,379,741,541,376/541,198
  6. Step 6: Final answer
    x = 2,549,420.99

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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.