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Finding the Third Proportional to 533,736 and 1,160,784

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Solution

The third proportional to 533,736 and 1,160,784 is: 2,524,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,736 : 1,160,784 = 1,160,784 : x
  2. Step 2: Convert to fraction form
    533,736/1,160,784 = 1,160,784/x
  3. Step 3: Cross multiply
    533,736x = 1,160,784 × 1,160,784
  4. Step 4: Simplify right side
    533,736x = 1,347,419,494,656
  5. Step 5: Solve for x
    x = 1,347,419,494,656/533,736
  6. Step 6: Final answer
    x = 2,524,505.55

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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.