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Finding the Third Proportional to 1,187,137 and 2,560,898

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Solution

The third proportional to 1,187,137 and 2,560,898 is: 5,524,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,137 : 2,560,898 = 2,560,898 : x
  2. Step 2: Convert to fraction form
    1,187,137/2,560,898 = 2,560,898/x
  3. Step 3: Cross multiply
    1,187,137x = 2,560,898 × 2,560,898
  4. Step 4: Simplify right side
    1,187,137x = 6,558,198,566,404
  5. Step 5: Solve for x
    x = 6,558,198,566,404/1,187,137
  6. Step 6: Final answer
    x = 5,524,382.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.