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Finding the Third Proportional to 1,682,312.25 and 2,522,850.75

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Solution

The third proportional to 1,682,312.25 and 2,522,850.75 is: 3,783,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,312.25 : 2,522,850.75 = 2,522,850.75 : x
  2. Step 2: Convert to fraction form
    1,682,312.25/2,522,850.75 = 2,522,850.75/x
  3. Step 3: Cross multiply
    1,682,312.25x = 2,522,850.75 × 2,522,850.75
  4. Step 4: Simplify right side
    1,682,312.25x = 6,364,775,906,775.56
  5. Step 5: Solve for x
    x = 6,364,775,906,775.56/1,682,312.25
  6. Step 6: Final answer
    x = 3,783,349.91

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Why These Related Problems?

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