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Finding the Third Proportional to 752,103 and 1,641,396

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Solution

The third proportional to 752,103 and 1,641,396 is: 3,582,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,103 : 1,641,396 = 1,641,396 : x
  2. Step 2: Convert to fraction form
    752,103/1,641,396 = 1,641,396/x
  3. Step 3: Cross multiply
    752,103x = 1,641,396 × 1,641,396
  4. Step 4: Simplify right side
    752,103x = 2,694,180,828,816
  5. Step 5: Solve for x
    x = 2,694,180,828,816/752,103
  6. Step 6: Final answer
    x = 3,582,196.63

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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.