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Finding the Third Proportional to 427,591 and 929,606

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Solution

The third proportional to 427,591 and 929,606 is: 2,021,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,591 : 929,606 = 929,606 : x
  2. Step 2: Convert to fraction form
    427,591/929,606 = 929,606/x
  3. Step 3: Cross multiply
    427,591x = 929,606 × 929,606
  4. Step 4: Simplify right side
    427,591x = 864,167,315,236
  5. Step 5: Solve for x
    x = 864,167,315,236/427,591
  6. Step 6: Final answer
    x = 2,021,013.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.