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Finding the Third Proportional to 2,131,034 and 3,259,972

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Solution

The third proportional to 2,131,034 and 3,259,972 is: 4,986,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,034 : 3,259,972 = 3,259,972 : x
  2. Step 2: Convert to fraction form
    2,131,034/3,259,972 = 3,259,972/x
  3. Step 3: Cross multiply
    2,131,034x = 3,259,972 × 3,259,972
  4. Step 4: Simplify right side
    2,131,034x = 10,627,417,440,784
  5. Step 5: Solve for x
    x = 10,627,417,440,784/2,131,034
  6. Step 6: Final answer
    x = 4,986,976.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.