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Finding the Third Proportional to 2,068,079 and 3,104,307

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Solution

The third proportional to 2,068,079 and 3,104,307 is: 4,659,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,079 : 3,104,307 = 3,104,307 : x
  2. Step 2: Convert to fraction form
    2,068,079/3,104,307 = 3,104,307/x
  3. Step 3: Cross multiply
    2,068,079x = 3,104,307 × 3,104,307
  4. Step 4: Simplify right side
    2,068,079x = 9,636,721,950,249
  5. Step 5: Solve for x
    x = 9,636,721,950,249/2,068,079
  6. Step 6: Final answer
    x = 4,659,745.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.