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Finding the Third Proportional to 1,728,694 and 2,616,901

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Solution

The third proportional to 1,728,694 and 2,616,901 is: 3,961,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,694 : 2,616,901 = 2,616,901 : x
  2. Step 2: Convert to fraction form
    1,728,694/2,616,901 = 2,616,901/x
  3. Step 3: Cross multiply
    1,728,694x = 2,616,901 × 2,616,901
  4. Step 4: Simplify right side
    1,728,694x = 6,848,170,843,801
  5. Step 5: Solve for x
    x = 6,848,170,843,801/1,728,694
  6. Step 6: Final answer
    x = 3,961,470.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.