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Finding the Third Proportional to 2,002,664 and 3,102,950

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Solution

The third proportional to 2,002,664 and 3,102,950 is: 4,807,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,664 : 3,102,950 = 3,102,950 : x
  2. Step 2: Convert to fraction form
    2,002,664/3,102,950 = 3,102,950/x
  3. Step 3: Cross multiply
    2,002,664x = 3,102,950 × 3,102,950
  4. Step 4: Simplify right side
    2,002,664x = 9,628,298,702,500
  5. Step 5: Solve for x
    x = 9,628,298,702,500/2,002,664
  6. Step 6: Final answer
    x = 4,807,745.43

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