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Finding the Third Proportional to 1,278,993 and 2,762,916

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Solution

The third proportional to 1,278,993 and 2,762,916 is: 5,968,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,993 : 2,762,916 = 2,762,916 : x
  2. Step 2: Convert to fraction form
    1,278,993/2,762,916 = 2,762,916/x
  3. Step 3: Cross multiply
    1,278,993x = 2,762,916 × 2,762,916
  4. Step 4: Simplify right side
    1,278,993x = 7,633,704,823,056
  5. Step 5: Solve for x
    x = 7,633,704,823,056/1,278,993
  6. Step 6: Final answer
    x = 5,968,527.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.