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Finding the Third Proportional to 2,047,259 and 3,211,266

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Solution

The third proportional to 2,047,259 and 3,211,266 is: 5,037,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,259 : 3,211,266 = 3,211,266 : x
  2. Step 2: Convert to fraction form
    2,047,259/3,211,266 = 3,211,266/x
  3. Step 3: Cross multiply
    2,047,259x = 3,211,266 × 3,211,266
  4. Step 4: Simplify right side
    2,047,259x = 10,312,229,322,756
  5. Step 5: Solve for x
    x = 10,312,229,322,756/2,047,259
  6. Step 6: Final answer
    x = 5,037,090.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.