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Finding the Third Proportional to 422,111 and 924,269

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Solution

The third proportional to 422,111 and 924,269 is: 2,023,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,111 : 924,269 = 924,269 : x
  2. Step 2: Convert to fraction form
    422,111/924,269 = 924,269/x
  3. Step 3: Cross multiply
    422,111x = 924,269 × 924,269
  4. Step 4: Simplify right side
    422,111x = 854,273,184,361
  5. Step 5: Solve for x
    x = 854,273,184,361/422,111
  6. Step 6: Final answer
    x = 2,023,811.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.