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Finding the Third Proportional to 1,682,871 and 3,670,339

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Solution

The third proportional to 1,682,871 and 3,670,339 is: 8,005,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,871 : 3,670,339 = 3,670,339 : x
  2. Step 2: Convert to fraction form
    1,682,871/3,670,339 = 3,670,339/x
  3. Step 3: Cross multiply
    1,682,871x = 3,670,339 × 3,670,339
  4. Step 4: Simplify right side
    1,682,871x = 13,471,388,374,921
  5. Step 5: Solve for x
    x = 13,471,388,374,921/1,682,871
  6. Step 6: Final answer
    x = 8,005,003.58

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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.