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Finding the Third Proportional to 1,010,844 and 2,198,836

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Solution

The third proportional to 1,010,844 and 2,198,836 is: 4,783,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,844 : 2,198,836 = 2,198,836 : x
  2. Step 2: Convert to fraction form
    1,010,844/2,198,836 = 2,198,836/x
  3. Step 3: Cross multiply
    1,010,844x = 2,198,836 × 2,198,836
  4. Step 4: Simplify right side
    1,010,844x = 4,834,879,754,896
  5. Step 5: Solve for x
    x = 4,834,879,754,896/1,010,844
  6. Step 6: Final answer
    x = 4,783,012.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.