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Finding the Third Proportional to 1,846,163 and 3,987,571

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Solution

The third proportional to 1,846,163 and 3,987,571 is: 8,612,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,163 : 3,987,571 = 3,987,571 : x
  2. Step 2: Convert to fraction form
    1,846,163/3,987,571 = 3,987,571/x
  3. Step 3: Cross multiply
    1,846,163x = 3,987,571 × 3,987,571
  4. Step 4: Simplify right side
    1,846,163x = 15,900,722,480,041
  5. Step 5: Solve for x
    x = 15,900,722,480,041/1,846,163
  6. Step 6: Final answer
    x = 8,612,848.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.