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Finding the Third Proportional to 2,023,123 and 4,416,950

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Solution

The third proportional to 2,023,123 and 4,416,950 is: 9,643,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,123 : 4,416,950 = 4,416,950 : x
  2. Step 2: Convert to fraction form
    2,023,123/4,416,950 = 4,416,950/x
  3. Step 3: Cross multiply
    2,023,123x = 4,416,950 × 4,416,950
  4. Step 4: Simplify right side
    2,023,123x = 19,509,447,302,500
  5. Step 5: Solve for x
    x = 19,509,447,302,500/2,023,123
  6. Step 6: Final answer
    x = 9,643,233.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.