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Finding the Third Proportional to 425,794 and 929,960

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Solution

The third proportional to 425,794 and 929,960 is: 2,031,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,794 : 929,960 = 929,960 : x
  2. Step 2: Convert to fraction form
    425,794/929,960 = 929,960/x
  3. Step 3: Cross multiply
    425,794x = 929,960 × 929,960
  4. Step 4: Simplify right side
    425,794x = 864,825,601,600
  5. Step 5: Solve for x
    x = 864,825,601,600/425,794
  6. Step 6: Final answer
    x = 2,031,089.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.