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Finding the Third Proportional to 1,288,857 and 2,825,601

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Solution

The third proportional to 1,288,857 and 2,825,601 is: 6,194,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,857 : 2,825,601 = 2,825,601 : x
  2. Step 2: Convert to fraction form
    1,288,857/2,825,601 = 2,825,601/x
  3. Step 3: Cross multiply
    1,288,857x = 2,825,601 × 2,825,601
  4. Step 4: Simplify right side
    1,288,857x = 7,984,021,011,201
  5. Step 5: Solve for x
    x = 7,984,021,011,201/1,288,857
  6. Step 6: Final answer
    x = 6,194,652.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.