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Finding the Third Proportional to 613,517.63 and 1,283,411.25

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Solution

The third proportional to 613,517.63 and 1,283,411.25 is: 2,684,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,517.63 : 1,283,411.25 = 1,283,411.25 : x
  2. Step 2: Convert to fraction form
    613,517.63/1,283,411.25 = 1,283,411.25/x
  3. Step 3: Cross multiply
    613,517.63x = 1,283,411.25 × 1,283,411.25
  4. Step 4: Simplify right side
    613,517.63x = 1,647,144,436,626.56
  5. Step 5: Solve for x
    x = 1,647,144,436,626.56/613,517.63
  6. Step 6: Final answer
    x = 2,684,754.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.