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Finding the Third Proportional to 1,682,498 and 3,669,509

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Solution

The third proportional to 1,682,498 and 3,669,509 is: 8,003,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,498 : 3,669,509 = 3,669,509 : x
  2. Step 2: Convert to fraction form
    1,682,498/3,669,509 = 3,669,509/x
  3. Step 3: Cross multiply
    1,682,498x = 3,669,509 × 3,669,509
  4. Step 4: Simplify right side
    1,682,498x = 13,465,296,301,081
  5. Step 5: Solve for x
    x = 13,465,296,301,081/1,682,498
  6. Step 6: Final answer
    x = 8,003,157.39

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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.