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Finding the Third Proportional to 1,940,352.75 and 4,220,469

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Solution

The third proportional to 1,940,352.75 and 4,220,469 is: 9,179,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,352.75 : 4,220,469 = 4,220,469 : x
  2. Step 2: Convert to fraction form
    1,940,352.75/4,220,469 = 4,220,469/x
  3. Step 3: Cross multiply
    1,940,352.75x = 4,220,469 × 4,220,469
  4. Step 4: Simplify right side
    1,940,352.75x = 17,812,358,579,961
  5. Step 5: Solve for x
    x = 17,812,358,579,961/1,940,352.75
  6. Step 6: Final answer
    x = 9,179,958.94

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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.