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Finding the Third Proportional to 467,901.75 and 957,936

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Solution

The third proportional to 467,901.75 and 957,936 is: 1,961,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,901.75 : 957,936 = 957,936 : x
  2. Step 2: Convert to fraction form
    467,901.75/957,936 = 957,936/x
  3. Step 3: Cross multiply
    467,901.75x = 957,936 × 957,936
  4. Step 4: Simplify right side
    467,901.75x = 917,641,380,096
  5. Step 5: Solve for x
    x = 917,641,380,096/467,901.75
  6. Step 6: Final answer
    x = 1,961,183.90

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.