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Finding the Third Proportional to 667,343 and 1,439,661

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Solution

The third proportional to 667,343 and 1,439,661 is: 3,105,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,343 : 1,439,661 = 1,439,661 : x
  2. Step 2: Convert to fraction form
    667,343/1,439,661 = 1,439,661/x
  3. Step 3: Cross multiply
    667,343x = 1,439,661 × 1,439,661
  4. Step 4: Simplify right side
    667,343x = 2,072,623,794,921
  5. Step 5: Solve for x
    x = 2,072,623,794,921/667,343
  6. Step 6: Final answer
    x = 3,105,784.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.