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Finding the Third Proportional to 866,508 and 1,347,015

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Solution

The third proportional to 866,508 and 1,347,015 is: 2,093,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,508 : 1,347,015 = 1,347,015 : x
  2. Step 2: Convert to fraction form
    866,508/1,347,015 = 1,347,015/x
  3. Step 3: Cross multiply
    866,508x = 1,347,015 × 1,347,015
  4. Step 4: Simplify right side
    866,508x = 1,814,449,410,225
  5. Step 5: Solve for x
    x = 1,814,449,410,225/866,508
  6. Step 6: Final answer
    x = 2,093,978.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.