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Finding the Third Proportional to 2,012,066 and 3,140,571

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Solution

The third proportional to 2,012,066 and 3,140,571 is: 4,902,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012,066 : 3,140,571 = 3,140,571 : x
  2. Step 2: Convert to fraction form
    2,012,066/3,140,571 = 3,140,571/x
  3. Step 3: Cross multiply
    2,012,066x = 3,140,571 × 3,140,571
  4. Step 4: Simplify right side
    2,012,066x = 9,863,186,206,041
  5. Step 5: Solve for x
    x = 9,863,186,206,041/2,012,066
  6. Step 6: Final answer
    x = 4,902,019.22

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.