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Finding the Third Proportional to 777,736 and 1,199,796

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Solution

The third proportional to 777,736 and 1,199,796 is: 1,850,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,736 : 1,199,796 = 1,199,796 : x
  2. Step 2: Convert to fraction form
    777,736/1,199,796 = 1,199,796/x
  3. Step 3: Cross multiply
    777,736x = 1,199,796 × 1,199,796
  4. Step 4: Simplify right side
    777,736x = 1,439,510,441,616
  5. Step 5: Solve for x
    x = 1,439,510,441,616/777,736
  6. Step 6: Final answer
    x = 1,850,898.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.