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Finding the Third Proportional to 1,682,900 and 3,465,036

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Solution

The third proportional to 1,682,900 and 3,465,036 is: 7,134,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,900 : 3,465,036 = 3,465,036 : x
  2. Step 2: Convert to fraction form
    1,682,900/3,465,036 = 3,465,036/x
  3. Step 3: Cross multiply
    1,682,900x = 3,465,036 × 3,465,036
  4. Step 4: Simplify right side
    1,682,900x = 12,006,474,481,296
  5. Step 5: Solve for x
    x = 12,006,474,481,296/1,682,900
  6. Step 6: Final answer
    x = 7,134,395.67

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.