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Finding the Third Proportional to 2,143,780 and 4,463,976

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Solution

The third proportional to 2,143,780 and 4,463,976 is: 9,295,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,780 : 4,463,976 = 4,463,976 : x
  2. Step 2: Convert to fraction form
    2,143,780/4,463,976 = 4,463,976/x
  3. Step 3: Cross multiply
    2,143,780x = 4,463,976 × 4,463,976
  4. Step 4: Simplify right side
    2,143,780x = 19,927,081,728,576
  5. Step 5: Solve for x
    x = 19,927,081,728,576/2,143,780
  6. Step 6: Final answer
    x = 9,295,301.63

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.