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Finding the Third Proportional to 422,913 and 929,943.75

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Solution

The third proportional to 422,913 and 929,943.75 is: 2,044,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,913 : 929,943.75 = 929,943.75 : x
  2. Step 2: Convert to fraction form
    422,913/929,943.75 = 929,943.75/x
  3. Step 3: Cross multiply
    422,913x = 929,943.75 × 929,943.75
  4. Step 4: Simplify right side
    422,913x = 864,795,378,164.06
  5. Step 5: Solve for x
    x = 864,795,378,164.06/422,913
  6. Step 6: Final answer
    x = 2,044,854.09

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