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Finding the Third Proportional to 1,082,168 and 1,682,196

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Solution

The third proportional to 1,082,168 and 1,682,196 is: 2,614,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,168 : 1,682,196 = 1,682,196 : x
  2. Step 2: Convert to fraction form
    1,082,168/1,682,196 = 1,682,196/x
  3. Step 3: Cross multiply
    1,082,168x = 1,682,196 × 1,682,196
  4. Step 4: Simplify right side
    1,082,168x = 2,829,783,382,416
  5. Step 5: Solve for x
    x = 2,829,783,382,416/1,082,168
  6. Step 6: Final answer
    x = 2,614,920.59

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