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Finding the Third Proportional to 949,342 and 1,268,150

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Solution

The third proportional to 949,342 and 1,268,150 is: 1,694,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,342 : 1,268,150 = 1,268,150 : x
  2. Step 2: Convert to fraction form
    949,342/1,268,150 = 1,268,150/x
  3. Step 3: Cross multiply
    949,342x = 1,268,150 × 1,268,150
  4. Step 4: Simplify right side
    949,342x = 1,608,204,422,500
  5. Step 5: Solve for x
    x = 1,608,204,422,500/949,342
  6. Step 6: Final answer
    x = 1,694,020.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.