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Finding the Third Proportional to 1,072,271 and 2,309,296

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Solution

The third proportional to 1,072,271 and 2,309,296 is: 4,973,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,271 : 2,309,296 = 2,309,296 : x
  2. Step 2: Convert to fraction form
    1,072,271/2,309,296 = 2,309,296/x
  3. Step 3: Cross multiply
    1,072,271x = 2,309,296 × 2,309,296
  4. Step 4: Simplify right side
    1,072,271x = 5,332,848,015,616
  5. Step 5: Solve for x
    x = 5,332,848,015,616/1,072,271
  6. Step 6: Final answer
    x = 4,973,414.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.