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Finding the Third Proportional to 1,682,154 and 3,584,493

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Solution

The third proportional to 1,682,154 and 3,584,493 is: 7,638,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,154 : 3,584,493 = 3,584,493 : x
  2. Step 2: Convert to fraction form
    1,682,154/3,584,493 = 3,584,493/x
  3. Step 3: Cross multiply
    1,682,154x = 3,584,493 × 3,584,493
  4. Step 4: Simplify right side
    1,682,154x = 12,848,590,067,049
  5. Step 5: Solve for x
    x = 12,848,590,067,049/1,682,154
  6. Step 6: Final answer
    x = 7,638,177.04

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.