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Finding the Third Proportional to 2,081,669 and 4,438,171

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Solution

The third proportional to 2,081,669 and 4,438,171 is: 9,462,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,669 : 4,438,171 = 4,438,171 : x
  2. Step 2: Convert to fraction form
    2,081,669/4,438,171 = 4,438,171/x
  3. Step 3: Cross multiply
    2,081,669x = 4,438,171 × 4,438,171
  4. Step 4: Simplify right side
    2,081,669x = 19,697,361,825,241
  5. Step 5: Solve for x
    x = 19,697,361,825,241/2,081,669
  6. Step 6: Final answer
    x = 9,462,292.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.