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Finding the Third Proportional to 422,914 and 929,946

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Solution

The third proportional to 422,914 and 929,946 is: 2,044,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,914 : 929,946 = 929,946 : x
  2. Step 2: Convert to fraction form
    422,914/929,946 = 929,946/x
  3. Step 3: Cross multiply
    422,914x = 929,946 × 929,946
  4. Step 4: Simplify right side
    422,914x = 864,799,562,916
  5. Step 5: Solve for x
    x = 864,799,562,916/422,914
  6. Step 6: Final answer
    x = 2,044,859.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.