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Finding the Third Proportional to 1,025,751 and 2,232,116

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Solution

The third proportional to 1,025,751 and 2,232,116 is: 4,857,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,751 : 2,232,116 = 2,232,116 : x
  2. Step 2: Convert to fraction form
    1,025,751/2,232,116 = 2,232,116/x
  3. Step 3: Cross multiply
    1,025,751x = 2,232,116 × 2,232,116
  4. Step 4: Simplify right side
    1,025,751x = 4,982,341,837,456
  5. Step 5: Solve for x
    x = 4,982,341,837,456/1,025,751
  6. Step 6: Final answer
    x = 4,857,262.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.