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Finding the Third Proportional to 3,183,570 and 4,936,782

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Solution

The third proportional to 3,183,570 and 4,936,782 is: 7,655,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183,570 : 4,936,782 = 4,936,782 : x
  2. Step 2: Convert to fraction form
    3,183,570/4,936,782 = 4,936,782/x
  3. Step 3: Cross multiply
    3,183,570x = 4,936,782 × 4,936,782
  4. Step 4: Simplify right side
    3,183,570x = 24,371,816,515,524
  5. Step 5: Solve for x
    x = 24,371,816,515,524/3,183,570
  6. Step 6: Final answer
    x = 7,655,498.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.