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Finding the Third Proportional to 1,420,211 and 1,997,620

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Solution

The third proportional to 1,420,211 and 1,997,620 is: 2,809,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,211 : 1,997,620 = 1,997,620 : x
  2. Step 2: Convert to fraction form
    1,420,211/1,997,620 = 1,997,620/x
  3. Step 3: Cross multiply
    1,420,211x = 1,997,620 × 1,997,620
  4. Step 4: Simplify right side
    1,420,211x = 3,990,485,664,400
  5. Step 5: Solve for x
    x = 3,990,485,664,400/1,420,211
  6. Step 6: Final answer
    x = 2,809,783.66

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.