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Finding the Third Proportional to 1,983,569 and 2,946,193

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Solution

The third proportional to 1,983,569 and 2,946,193 is: 4,375,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983,569 : 2,946,193 = 2,946,193 : x
  2. Step 2: Convert to fraction form
    1,983,569/2,946,193 = 2,946,193/x
  3. Step 3: Cross multiply
    1,983,569x = 2,946,193 × 2,946,193
  4. Step 4: Simplify right side
    1,983,569x = 8,680,053,193,249
  5. Step 5: Solve for x
    x = 8,680,053,193,249/1,983,569
  6. Step 6: Final answer
    x = 4,375,977.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.