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Finding the Third Proportional to 1,285,692.75 and 1,922,231.25

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Solution

The third proportional to 1,285,692.75 and 1,922,231.25 is: 2,873,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,692.75 : 1,922,231.25 = 1,922,231.25 : x
  2. Step 2: Convert to fraction form
    1,285,692.75/1,922,231.25 = 1,922,231.25/x
  3. Step 3: Cross multiply
    1,285,692.75x = 1,922,231.25 × 1,922,231.25
  4. Step 4: Simplify right side
    1,285,692.75x = 3,694,972,978,476.56
  5. Step 5: Solve for x
    x = 3,694,972,978,476.56/1,285,692.75
  6. Step 6: Final answer
    x = 2,873,916.01

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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.