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Finding the Third Proportional to 2,614,936 and 5,642,970

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Solution

The third proportional to 2,614,936 and 5,642,970 is: 12,177,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,936 : 5,642,970 = 5,642,970 : x
  2. Step 2: Convert to fraction form
    2,614,936/5,642,970 = 5,642,970/x
  3. Step 3: Cross multiply
    2,614,936x = 5,642,970 × 5,642,970
  4. Step 4: Simplify right side
    2,614,936x = 31,843,110,420,900
  5. Step 5: Solve for x
    x = 31,843,110,420,900/2,614,936
  6. Step 6: Final answer
    x = 12,177,395.71

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