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Finding the Third Proportional to 1,753,589 and 3,769,210

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Solution

The third proportional to 1,753,589 and 3,769,210 is: 8,101,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,589 : 3,769,210 = 3,769,210 : x
  2. Step 2: Convert to fraction form
    1,753,589/3,769,210 = 3,769,210/x
  3. Step 3: Cross multiply
    1,753,589x = 3,769,210 × 3,769,210
  4. Step 4: Simplify right side
    1,753,589x = 14,206,944,024,100
  5. Step 5: Solve for x
    x = 14,206,944,024,100/1,753,589
  6. Step 6: Final answer
    x = 8,101,638.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.