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Finding the Third Proportional to 1,682,966 and 2,299,296

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Solution

The third proportional to 1,682,966 and 2,299,296 is: 3,141,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,966 : 2,299,296 = 2,299,296 : x
  2. Step 2: Convert to fraction form
    1,682,966/2,299,296 = 2,299,296/x
  3. Step 3: Cross multiply
    1,682,966x = 2,299,296 × 2,299,296
  4. Step 4: Simplify right side
    1,682,966x = 5,286,762,095,616
  5. Step 5: Solve for x
    x = 5,286,762,095,616/1,682,966
  6. Step 6: Final answer
    x = 3,141,336.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.