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Finding the Third Proportional to 1,200,763 and 1,857,255

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Solution

The third proportional to 1,200,763 and 1,857,255 is: 2,872,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,763 : 1,857,255 = 1,857,255 : x
  2. Step 2: Convert to fraction form
    1,200,763/1,857,255 = 1,857,255/x
  3. Step 3: Cross multiply
    1,200,763x = 1,857,255 × 1,857,255
  4. Step 4: Simplify right side
    1,200,763x = 3,449,396,135,025
  5. Step 5: Solve for x
    x = 3,449,396,135,025/1,200,763
  6. Step 6: Final answer
    x = 2,872,670.24

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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.