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Finding the Third Proportional to 769,284 and 1,674,027

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Solution

The third proportional to 769,284 and 1,674,027 is: 3,642,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,284 : 1,674,027 = 1,674,027 : x
  2. Step 2: Convert to fraction form
    769,284/1,674,027 = 1,674,027/x
  3. Step 3: Cross multiply
    769,284x = 1,674,027 × 1,674,027
  4. Step 4: Simplify right side
    769,284x = 2,802,366,396,729
  5. Step 5: Solve for x
    x = 2,802,366,396,729/769,284
  6. Step 6: Final answer
    x = 3,642,824.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.