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Finding the Third Proportional to 1,682,598 and 3,650,601

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Solution

The third proportional to 1,682,598 and 3,650,601 is: 7,920,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,598 : 3,650,601 = 3,650,601 : x
  2. Step 2: Convert to fraction form
    1,682,598/3,650,601 = 3,650,601/x
  3. Step 3: Cross multiply
    1,682,598x = 3,650,601 × 3,650,601
  4. Step 4: Simplify right side
    1,682,598x = 13,326,887,661,201
  5. Step 5: Solve for x
    x = 13,326,887,661,201/1,682,598
  6. Step 6: Final answer
    x = 7,920,422.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.