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Finding the Third Proportional to 791,967 and 1,187,977

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Solution

The third proportional to 791,967 and 1,187,977 is: 1,782,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,967 : 1,187,977 = 1,187,977 : x
  2. Step 2: Convert to fraction form
    791,967/1,187,977 = 1,187,977/x
  3. Step 3: Cross multiply
    791,967x = 1,187,977 × 1,187,977
  4. Step 4: Simplify right side
    791,967x = 1,411,289,352,529
  5. Step 5: Solve for x
    x = 1,411,289,352,529/791,967
  6. Step 6: Final answer
    x = 1,782,005.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.