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Finding the Third Proportional to 1,752,834.94 and 2,640,787.31

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Solution

The third proportional to 1,752,834.94 and 2,640,787.31 is: 3,978,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752,834.94 : 2,640,787.31 = 2,640,787.31 : x
  2. Step 2: Convert to fraction form
    1,752,834.94/2,640,787.31 = 2,640,787.31/x
  3. Step 3: Cross multiply
    1,752,834.94x = 2,640,787.31 × 2,640,787.31
  4. Step 4: Simplify right side
    1,752,834.94x = 6,973,757,629,860.97
  5. Step 5: Solve for x
    x = 6,973,757,629,860.97/1,752,834.94
  6. Step 6: Final answer
    x = 3,978,559.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.