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Finding the Third Proportional to 2,012,123 and 3,044,199

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Solution

The third proportional to 2,012,123 and 3,044,199 is: 4,605,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012,123 : 3,044,199 = 3,044,199 : x
  2. Step 2: Convert to fraction form
    2,012,123/3,044,199 = 3,044,199/x
  3. Step 3: Cross multiply
    2,012,123x = 3,044,199 × 3,044,199
  4. Step 4: Simplify right side
    2,012,123x = 9,267,147,551,601
  5. Step 5: Solve for x
    x = 9,267,147,551,601/2,012,123
  6. Step 6: Final answer
    x = 4,605,656.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.