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Finding the Third Proportional to 774,084 and 1,172,790

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Solution

The third proportional to 774,084 and 1,172,790 is: 1,776,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,084 : 1,172,790 = 1,172,790 : x
  2. Step 2: Convert to fraction form
    774,084/1,172,790 = 1,172,790/x
  3. Step 3: Cross multiply
    774,084x = 1,172,790 × 1,172,790
  4. Step 4: Simplify right side
    774,084x = 1,375,436,384,100
  5. Step 5: Solve for x
    x = 1,375,436,384,100/774,084
  6. Step 6: Final answer
    x = 1,776,856.75

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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.