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Finding the Third Proportional to 533,182 and 1,126,304

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Solution

The third proportional to 533,182 and 1,126,304 is: 2,379,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,182 : 1,126,304 = 1,126,304 : x
  2. Step 2: Convert to fraction form
    533,182/1,126,304 = 1,126,304/x
  3. Step 3: Cross multiply
    533,182x = 1,126,304 × 1,126,304
  4. Step 4: Simplify right side
    533,182x = 1,268,560,700,416
  5. Step 5: Solve for x
    x = 1,268,560,700,416/533,182
  6. Step 6: Final answer
    x = 2,379,226.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.