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Finding the Third Proportional to 2,012,061 and 3,140,563

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Solution

The third proportional to 2,012,061 and 3,140,563 is: 4,902,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012,061 : 3,140,563 = 3,140,563 : x
  2. Step 2: Convert to fraction form
    2,012,061/3,140,563 = 3,140,563/x
  3. Step 3: Cross multiply
    2,012,061x = 3,140,563 × 3,140,563
  4. Step 4: Simplify right side
    2,012,061x = 9,863,135,956,969
  5. Step 5: Solve for x
    x = 9,863,135,956,969/2,012,061
  6. Step 6: Final answer
    x = 4,902,006.43

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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.