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Finding the Third Proportional to 686,198 and 1,512,004

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Solution

The third proportional to 686,198 and 1,512,004 is: 3,331,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,198 : 1,512,004 = 1,512,004 : x
  2. Step 2: Convert to fraction form
    686,198/1,512,004 = 1,512,004/x
  3. Step 3: Cross multiply
    686,198x = 1,512,004 × 1,512,004
  4. Step 4: Simplify right side
    686,198x = 2,286,156,096,016
  5. Step 5: Solve for x
    x = 2,286,156,096,016/686,198
  6. Step 6: Final answer
    x = 3,331,627.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.