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Finding the Third Proportional to 1,354,576.50 and 1,844,997.75

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Solution

The third proportional to 1,354,576.50 and 1,844,997.75 is: 2,512,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,576.50 : 1,844,997.75 = 1,844,997.75 : x
  2. Step 2: Convert to fraction form
    1,354,576.50/1,844,997.75 = 1,844,997.75/x
  3. Step 3: Cross multiply
    1,354,576.50x = 1,844,997.75 × 1,844,997.75
  4. Step 4: Simplify right side
    1,354,576.50x = 3,404,016,697,505.06
  5. Step 5: Solve for x
    x = 3,404,016,697,505.06/1,354,576.50
  6. Step 6: Final answer
    x = 2,512,974.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.