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Finding the Third Proportional to 2,569,214 and 5,647,044

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Solution

The third proportional to 2,569,214 and 5,647,044 is: 12,412,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,214 : 5,647,044 = 5,647,044 : x
  2. Step 2: Convert to fraction form
    2,569,214/5,647,044 = 5,647,044/x
  3. Step 3: Cross multiply
    2,569,214x = 5,647,044 × 5,647,044
  4. Step 4: Simplify right side
    2,569,214x = 31,889,105,937,936
  5. Step 5: Solve for x
    x = 31,889,105,937,936/2,569,214
  6. Step 6: Final answer
    x = 12,412,008.47

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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.