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Finding the Third Proportional to 422,922 and 929,963

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Solution

The third proportional to 422,922 and 929,963 is: 2,044,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,922 : 929,963 = 929,963 : x
  2. Step 2: Convert to fraction form
    422,922/929,963 = 929,963/x
  3. Step 3: Cross multiply
    422,922x = 929,963 × 929,963
  4. Step 4: Simplify right side
    422,922x = 864,831,181,369
  5. Step 5: Solve for x
    x = 864,831,181,369/422,922
  6. Step 6: Final answer
    x = 2,044,895.23

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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.