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Finding the Third Proportional to 686,512 and 1,420,760

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Solution

The third proportional to 686,512 and 1,420,760 is: 2,940,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,512 : 1,420,760 = 1,420,760 : x
  2. Step 2: Convert to fraction form
    686,512/1,420,760 = 1,420,760/x
  3. Step 3: Cross multiply
    686,512x = 1,420,760 × 1,420,760
  4. Step 4: Simplify right side
    686,512x = 2,018,558,977,600
  5. Step 5: Solve for x
    x = 2,018,558,977,600/686,512
  6. Step 6: Final answer
    x = 2,940,311.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.