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Finding the Third Proportional to 686,600 and 1,435,976

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Solution

The third proportional to 686,600 and 1,435,976 is: 3,003,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,600 : 1,435,976 = 1,435,976 : x
  2. Step 2: Convert to fraction form
    686,600/1,435,976 = 1,435,976/x
  3. Step 3: Cross multiply
    686,600x = 1,435,976 × 1,435,976
  4. Step 4: Simplify right side
    686,600x = 2,062,027,072,576
  5. Step 5: Solve for x
    x = 2,062,027,072,576/686,600
  6. Step 6: Final answer
    x = 3,003,243.62

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.