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Finding the Third Proportional to 2,568,816 and 5,646,123

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Solution

The third proportional to 2,568,816 and 5,646,123 is: 12,409,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568,816 : 5,646,123 = 5,646,123 : x
  2. Step 2: Convert to fraction form
    2,568,816/5,646,123 = 5,646,123/x
  3. Step 3: Cross multiply
    2,568,816x = 5,646,123 × 5,646,123
  4. Step 4: Simplify right side
    2,568,816x = 31,878,704,931,129
  5. Step 5: Solve for x
    x = 31,878,704,931,129/2,568,816
  6. Step 6: Final answer
    x = 12,409,882.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.