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Finding the Third Proportional to 605,690 and 1,311,704

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Solution

The third proportional to 605,690 and 1,311,704 is: 2,840,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,690 : 1,311,704 = 1,311,704 : x
  2. Step 2: Convert to fraction form
    605,690/1,311,704 = 1,311,704/x
  3. Step 3: Cross multiply
    605,690x = 1,311,704 × 1,311,704
  4. Step 4: Simplify right side
    605,690x = 1,720,567,383,616
  5. Step 5: Solve for x
    x = 1,720,567,383,616/605,690
  6. Step 6: Final answer
    x = 2,840,673.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.