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Finding the Third Proportional to 1,035,876 and 2,441,824

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Solution

The third proportional to 1,035,876 and 2,441,824 is: 5,756,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,876 : 2,441,824 = 2,441,824 : x
  2. Step 2: Convert to fraction form
    1,035,876/2,441,824 = 2,441,824/x
  3. Step 3: Cross multiply
    1,035,876x = 2,441,824 × 2,441,824
  4. Step 4: Simplify right side
    1,035,876x = 5,962,504,446,976
  5. Step 5: Solve for x
    x = 5,962,504,446,976/1,035,876
  6. Step 6: Final answer
    x = 5,756,002.12

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.