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Finding the Third Proportional to 776,268 and 1,178,404

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Solution

The third proportional to 776,268 and 1,178,404 is: 1,788,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,268 : 1,178,404 = 1,178,404 : x
  2. Step 2: Convert to fraction form
    776,268/1,178,404 = 1,178,404/x
  3. Step 3: Cross multiply
    776,268x = 1,178,404 × 1,178,404
  4. Step 4: Simplify right side
    776,268x = 1,388,635,987,216
  5. Step 5: Solve for x
    x = 1,388,635,987,216/776,268
  6. Step 6: Final answer
    x = 1,788,861.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.