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Finding the Third Proportional to 1,743,697 and 3,694,825

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Solution

The third proportional to 1,743,697 and 3,694,825 is: 7,829,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,697 : 3,694,825 = 3,694,825 : x
  2. Step 2: Convert to fraction form
    1,743,697/3,694,825 = 3,694,825/x
  3. Step 3: Cross multiply
    1,743,697x = 3,694,825 × 3,694,825
  4. Step 4: Simplify right side
    1,743,697x = 13,651,731,780,625
  5. Step 5: Solve for x
    x = 13,651,731,780,625/1,743,697
  6. Step 6: Final answer
    x = 7,829,188.09

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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.