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Finding the Third Proportional to 1,904,193 and 2,783,314

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Solution

The third proportional to 1,904,193 and 2,783,314 is: 4,068,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904,193 : 2,783,314 = 2,783,314 : x
  2. Step 2: Convert to fraction form
    1,904,193/2,783,314 = 2,783,314/x
  3. Step 3: Cross multiply
    1,904,193x = 2,783,314 × 2,783,314
  4. Step 4: Simplify right side
    1,904,193x = 7,746,836,822,596
  5. Step 5: Solve for x
    x = 7,746,836,822,596/1,904,193
  6. Step 6: Final answer
    x = 4,068,304.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.