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Finding the Third Proportional to 535,318 and 1,188,734

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Solution

The third proportional to 535,318 and 1,188,734 is: 2,639,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,318 : 1,188,734 = 1,188,734 : x
  2. Step 2: Convert to fraction form
    535,318/1,188,734 = 1,188,734/x
  3. Step 3: Cross multiply
    535,318x = 1,188,734 × 1,188,734
  4. Step 4: Simplify right side
    535,318x = 1,413,088,522,756
  5. Step 5: Solve for x
    x = 1,413,088,522,756/535,318
  6. Step 6: Final answer
    x = 2,639,717.93

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.