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Finding the Third Proportional to 1,311,354 and 2,085,183

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Solution

The third proportional to 1,311,354 and 2,085,183 is: 3,315,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,354 : 2,085,183 = 2,085,183 : x
  2. Step 2: Convert to fraction form
    1,311,354/2,085,183 = 2,085,183/x
  3. Step 3: Cross multiply
    1,311,354x = 2,085,183 × 2,085,183
  4. Step 4: Simplify right side
    1,311,354x = 4,347,988,143,489
  5. Step 5: Solve for x
    x = 4,347,988,143,489/1,311,354
  6. Step 6: Final answer
    x = 3,315,647.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.