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Finding the Third Proportional to 1,682,596 and 3,669,697

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Solution

The third proportional to 1,682,596 and 3,669,697 is: 8,003,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,596 : 3,669,697 = 3,669,697 : x
  2. Step 2: Convert to fraction form
    1,682,596/3,669,697 = 3,669,697/x
  3. Step 3: Cross multiply
    1,682,596x = 3,669,697 × 3,669,697
  4. Step 4: Simplify right side
    1,682,596x = 13,466,676,071,809
  5. Step 5: Solve for x
    x = 13,466,676,071,809/1,682,596
  6. Step 6: Final answer
    x = 8,003,511.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.