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Finding the Third Proportional to 2,005,241 and 4,175,719

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Solution

The third proportional to 2,005,241 and 4,175,719 is: 8,695,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,241 : 4,175,719 = 4,175,719 : x
  2. Step 2: Convert to fraction form
    2,005,241/4,175,719 = 4,175,719/x
  3. Step 3: Cross multiply
    2,005,241x = 4,175,719 × 4,175,719
  4. Step 4: Simplify right side
    2,005,241x = 17,436,629,166,961
  5. Step 5: Solve for x
    x = 17,436,629,166,961/2,005,241
  6. Step 6: Final answer
    x = 8,695,527.95

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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.