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Finding the Third Proportional to 1,268,742 and 2,662,036

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Solution

The third proportional to 1,268,742 and 2,662,036 is: 5,585,403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,742 : 2,662,036 = 2,662,036 : x
  2. Step 2: Convert to fraction form
    1,268,742/2,662,036 = 2,662,036/x
  3. Step 3: Cross multiply
    1,268,742x = 2,662,036 × 2,662,036
  4. Step 4: Simplify right side
    1,268,742x = 7,086,435,665,296
  5. Step 5: Solve for x
    x = 7,086,435,665,296/1,268,742
  6. Step 6: Final answer
    x = 5,585,403.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.