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Finding the Third Proportional to 2,012,074 and 3,140,583

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Solution

The third proportional to 2,012,074 and 3,140,583 is: 4,902,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012,074 : 3,140,583 = 3,140,583 : x
  2. Step 2: Convert to fraction form
    2,012,074/3,140,583 = 3,140,583/x
  3. Step 3: Cross multiply
    2,012,074x = 3,140,583 × 3,140,583
  4. Step 4: Simplify right side
    2,012,074x = 9,863,261,579,889
  5. Step 5: Solve for x
    x = 9,863,261,579,889/2,012,074
  6. Step 6: Final answer
    x = 4,902,037.19

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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.