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Finding the Third Proportional to 2,571,648.75 and 5,497,571.25

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Solution

The third proportional to 2,571,648.75 and 5,497,571.25 is: 11,752,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571,648.75 : 5,497,571.25 = 5,497,571.25 : x
  2. Step 2: Convert to fraction form
    2,571,648.75/5,497,571.25 = 5,497,571.25/x
  3. Step 3: Cross multiply
    2,571,648.75x = 5,497,571.25 × 5,497,571.25
  4. Step 4: Simplify right side
    2,571,648.75x = 30,223,289,648,826.56
  5. Step 5: Solve for x
    x = 30,223,289,648,826.56/2,571,648.75
  6. Step 6: Final answer
    x = 11,752,495.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.