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Finding the Third Proportional to 2,569,212 and 5,647,040

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Solution

The third proportional to 2,569,212 and 5,647,040 is: 12,412,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,212 : 5,647,040 = 5,647,040 : x
  2. Step 2: Convert to fraction form
    2,569,212/5,647,040 = 5,647,040/x
  3. Step 3: Cross multiply
    2,569,212x = 5,647,040 × 5,647,040
  4. Step 4: Simplify right side
    2,569,212x = 31,889,060,761,600
  5. Step 5: Solve for x
    x = 31,889,060,761,600/2,569,212
  6. Step 6: Final answer
    x = 12,412,000.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.