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Finding the Third Proportional to 1,029,333 and 2,268,078

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Solution

The third proportional to 1,029,333 and 2,268,078 is: 4,997,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,333 : 2,268,078 = 2,268,078 : x
  2. Step 2: Convert to fraction form
    1,029,333/2,268,078 = 2,268,078/x
  3. Step 3: Cross multiply
    1,029,333x = 2,268,078 × 2,268,078
  4. Step 4: Simplify right side
    1,029,333x = 5,144,177,814,084
  5. Step 5: Solve for x
    x = 5,144,177,814,084/1,029,333
  6. Step 6: Final answer
    x = 4,997,583.69

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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.