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Finding the Third Proportional to 1,313,941 and 2,832,974

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Solution

The third proportional to 1,313,941 and 2,832,974 is: 6,108,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,941 : 2,832,974 = 2,832,974 : x
  2. Step 2: Convert to fraction form
    1,313,941/2,832,974 = 2,832,974/x
  3. Step 3: Cross multiply
    1,313,941x = 2,832,974 × 2,832,974
  4. Step 4: Simplify right side
    1,313,941x = 8,025,741,684,676
  5. Step 5: Solve for x
    x = 8,025,741,684,676/1,313,941
  6. Step 6: Final answer
    x = 6,108,144.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.