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Finding the Third Proportional to 1,601,381.25 and 3,498,250

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Solution

The third proportional to 1,601,381.25 and 3,498,250 is: 7,641,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,381.25 : 3,498,250 = 3,498,250 : x
  2. Step 2: Convert to fraction form
    1,601,381.25/3,498,250 = 3,498,250/x
  3. Step 3: Cross multiply
    1,601,381.25x = 3,498,250 × 3,498,250
  4. Step 4: Simplify right side
    1,601,381.25x = 12,237,753,062,500
  5. Step 5: Solve for x
    x = 12,237,753,062,500/1,601,381.25
  6. Step 6: Final answer
    x = 7,641,998.47

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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.