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Finding the Third Proportional to 1,198,037 and 2,605,986

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Solution

The third proportional to 1,198,037 and 2,605,986 is: 5,668,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,037 : 2,605,986 = 2,605,986 : x
  2. Step 2: Convert to fraction form
    1,198,037/2,605,986 = 2,605,986/x
  3. Step 3: Cross multiply
    1,198,037x = 2,605,986 × 2,605,986
  4. Step 4: Simplify right side
    1,198,037x = 6,791,163,032,196
  5. Step 5: Solve for x
    x = 6,791,163,032,196/1,198,037
  6. Step 6: Final answer
    x = 5,668,575.37

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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.