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Finding the Third Proportional to 1,018,596 and 2,120,868

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Solution

The third proportional to 1,018,596 and 2,120,868 is: 4,415,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,596 : 2,120,868 = 2,120,868 : x
  2. Step 2: Convert to fraction form
    1,018,596/2,120,868 = 2,120,868/x
  3. Step 3: Cross multiply
    1,018,596x = 2,120,868 × 2,120,868
  4. Step 4: Simplify right side
    1,018,596x = 4,498,081,073,424
  5. Step 5: Solve for x
    x = 4,498,081,073,424/1,018,596
  6. Step 6: Final answer
    x = 4,415,961.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.