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Finding the Third Proportional to 1,305,342 and 2,767,500

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Solution

The third proportional to 1,305,342 and 2,767,500 is: 5,867,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,342 : 2,767,500 = 2,767,500 : x
  2. Step 2: Convert to fraction form
    1,305,342/2,767,500 = 2,767,500/x
  3. Step 3: Cross multiply
    1,305,342x = 2,767,500 × 2,767,500
  4. Step 4: Simplify right side
    1,305,342x = 7,659,056,250,000
  5. Step 5: Solve for x
    x = 7,659,056,250,000/1,305,342
  6. Step 6: Final answer
    x = 5,867,470.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.