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Finding the Third Proportional to 1,014,471 and 2,399,112

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Solution

The third proportional to 1,014,471 and 2,399,112 is: 5,673,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,471 : 2,399,112 = 2,399,112 : x
  2. Step 2: Convert to fraction form
    1,014,471/2,399,112 = 2,399,112/x
  3. Step 3: Cross multiply
    1,014,471x = 2,399,112 × 2,399,112
  4. Step 4: Simplify right side
    1,014,471x = 5,755,738,388,544
  5. Step 5: Solve for x
    x = 5,755,738,388,544/1,014,471
  6. Step 6: Final answer
    x = 5,673,635.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.