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Finding the Third Proportional to 2,002,657.50 and 3,102,939

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Solution

The third proportional to 2,002,657.50 and 3,102,939 is: 4,807,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,657.50 : 3,102,939 = 3,102,939 : x
  2. Step 2: Convert to fraction form
    2,002,657.50/3,102,939 = 3,102,939/x
  3. Step 3: Cross multiply
    2,002,657.50x = 3,102,939 × 3,102,939
  4. Step 4: Simplify right side
    2,002,657.50x = 9,628,230,437,721
  5. Step 5: Solve for x
    x = 9,628,230,437,721/2,002,657.50
  6. Step 6: Final answer
    x = 4,807,726.95

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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.