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Finding the Third Proportional to 533,180 and 1,126,300

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Solution

The third proportional to 533,180 and 1,126,300 is: 2,379,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,180 : 1,126,300 = 1,126,300 : x
  2. Step 2: Convert to fraction form
    533,180/1,126,300 = 1,126,300/x
  3. Step 3: Cross multiply
    533,180x = 1,126,300 × 1,126,300
  4. Step 4: Simplify right side
    533,180x = 1,268,551,690,000
  5. Step 5: Solve for x
    x = 1,268,551,690,000/533,180
  6. Step 6: Final answer
    x = 2,379,218.44

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