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Finding the Third Proportional to 2,569,211 and 5,647,038

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Solution

The third proportional to 2,569,211 and 5,647,038 is: 12,411,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,211 : 5,647,038 = 5,647,038 : x
  2. Step 2: Convert to fraction form
    2,569,211/5,647,038 = 5,647,038/x
  3. Step 3: Cross multiply
    2,569,211x = 5,647,038 × 5,647,038
  4. Step 4: Simplify right side
    2,569,211x = 31,889,038,173,444
  5. Step 5: Solve for x
    x = 31,889,038,173,444/2,569,211
  6. Step 6: Final answer
    x = 12,411,996.59

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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.