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Finding the Third Proportional to 2,367,831 and 3,813,321

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Solution

The third proportional to 2,367,831 and 3,813,321 is: 6,141,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,831 : 3,813,321 = 3,813,321 : x
  2. Step 2: Convert to fraction form
    2,367,831/3,813,321 = 3,813,321/x
  3. Step 3: Cross multiply
    2,367,831x = 3,813,321 × 3,813,321
  4. Step 4: Simplify right side
    2,367,831x = 14,541,417,049,041
  5. Step 5: Solve for x
    x = 14,541,417,049,041/2,367,831
  6. Step 6: Final answer
    x = 6,141,239.41

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.