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Finding the Third Proportional to 737,947.50 and 1,109,199

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Solution

The third proportional to 737,947.50 and 1,109,199 is: 1,667,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,947.50 : 1,109,199 = 1,109,199 : x
  2. Step 2: Convert to fraction form
    737,947.50/1,109,199 = 1,109,199/x
  3. Step 3: Cross multiply
    737,947.50x = 1,109,199 × 1,109,199
  4. Step 4: Simplify right side
    737,947.50x = 1,230,322,421,601
  5. Step 5: Solve for x
    x = 1,230,322,421,601/737,947.50
  6. Step 6: Final answer
    x = 1,667,222.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.