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Finding the Third Proportional to 2,843,984 and 4,024,137

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Solution

The third proportional to 2,843,984 and 4,024,137 is: 5,694,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843,984 : 4,024,137 = 4,024,137 : x
  2. Step 2: Convert to fraction form
    2,843,984/4,024,137 = 4,024,137/x
  3. Step 3: Cross multiply
    2,843,984x = 4,024,137 × 4,024,137
  4. Step 4: Simplify right side
    2,843,984x = 16,193,678,594,769
  5. Step 5: Solve for x
    x = 16,193,678,594,769/2,843,984
  6. Step 6: Final answer
    x = 5,694,011.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.