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Finding the Third Proportional to 1,200,759.94 and 1,857,251.06

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Solution

The third proportional to 1,200,759.94 and 1,857,251.06 is: 2,872,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,759.94 : 1,857,251.06 = 1,857,251.06 : x
  2. Step 2: Convert to fraction form
    1,200,759.94/1,857,251.06 = 1,857,251.06/x
  3. Step 3: Cross multiply
    1,200,759.94x = 1,857,251.06 × 1,857,251.06
  4. Step 4: Simplify right side
    1,200,759.94x = 3,449,381,509,157.38
  5. Step 5: Solve for x
    x = 3,449,381,509,157.38/1,200,759.94
  6. Step 6: Final answer
    x = 2,872,665.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.