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Finding the Third Proportional to 776,269 and 1,178,406

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Solution

The third proportional to 776,269 and 1,178,406 is: 1,788,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,269 : 1,178,406 = 1,178,406 : x
  2. Step 2: Convert to fraction form
    776,269/1,178,406 = 1,178,406/x
  3. Step 3: Cross multiply
    776,269x = 1,178,406 × 1,178,406
  4. Step 4: Simplify right side
    776,269x = 1,388,640,700,836
  5. Step 5: Solve for x
    x = 1,388,640,700,836/776,269
  6. Step 6: Final answer
    x = 1,788,865.33

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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.