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Finding the Third Proportional to 1,738,487.25 and 3,526,104.75

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Solution

The third proportional to 1,738,487.25 and 3,526,104.75 is: 7,151,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,487.25 : 3,526,104.75 = 3,526,104.75 : x
  2. Step 2: Convert to fraction form
    1,738,487.25/3,526,104.75 = 3,526,104.75/x
  3. Step 3: Cross multiply
    1,738,487.25x = 3,526,104.75 × 3,526,104.75
  4. Step 4: Simplify right side
    1,738,487.25x = 12,433,414,707,972.56
  5. Step 5: Solve for x
    x = 12,433,414,707,972.56/1,738,487.25
  6. Step 6: Final answer
    x = 7,151,858.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.