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Finding the Third Proportional to 1,536,634 and 3,353,204

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Solution

The third proportional to 1,536,634 and 3,353,204 is: 7,317,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,634 : 3,353,204 = 3,353,204 : x
  2. Step 2: Convert to fraction form
    1,536,634/3,353,204 = 3,353,204/x
  3. Step 3: Cross multiply
    1,536,634x = 3,353,204 × 3,353,204
  4. Step 4: Simplify right side
    1,536,634x = 11,243,977,065,616
  5. Step 5: Solve for x
    x = 11,243,977,065,616/1,536,634
  6. Step 6: Final answer
    x = 7,317,277.29

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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.