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Finding the Third Proportional to 422,919 and 929,955

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Solution

The third proportional to 422,919 and 929,955 is: 2,044,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,919 : 929,955 = 929,955 : x
  2. Step 2: Convert to fraction form
    422,919/929,955 = 929,955/x
  3. Step 3: Cross multiply
    422,919x = 929,955 × 929,955
  4. Step 4: Simplify right side
    422,919x = 864,816,302,025
  5. Step 5: Solve for x
    x = 864,816,302,025/422,919
  6. Step 6: Final answer
    x = 2,044,874.56

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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.