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Finding the Third Proportional to 512,711 and 1,104,277

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Solution

The third proportional to 512,711 and 1,104,277 is: 2,378,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,711 : 1,104,277 = 1,104,277 : x
  2. Step 2: Convert to fraction form
    512,711/1,104,277 = 1,104,277/x
  3. Step 3: Cross multiply
    512,711x = 1,104,277 × 1,104,277
  4. Step 4: Simplify right side
    512,711x = 1,219,427,692,729
  5. Step 5: Solve for x
    x = 1,219,427,692,729/512,711
  6. Step 6: Final answer
    x = 2,378,391.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.