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Finding the Third Proportional to 1,102,124 and 1,661,286

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Solution

The third proportional to 1,102,124 and 1,661,286 is: 2,504,138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,124 : 1,661,286 = 1,661,286 : x
  2. Step 2: Convert to fraction form
    1,102,124/1,661,286 = 1,661,286/x
  3. Step 3: Cross multiply
    1,102,124x = 1,661,286 × 1,661,286
  4. Step 4: Simplify right side
    1,102,124x = 2,759,871,173,796
  5. Step 5: Solve for x
    x = 2,759,871,173,796/1,102,124
  6. Step 6: Final answer
    x = 2,504,138.53

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