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Finding the Third Proportional to 491,188 and 1,057,073

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Solution

The third proportional to 491,188 and 1,057,073 is: 2,274,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,188 : 1,057,073 = 1,057,073 : x
  2. Step 2: Convert to fraction form
    491,188/1,057,073 = 1,057,073/x
  3. Step 3: Cross multiply
    491,188x = 1,057,073 × 1,057,073
  4. Step 4: Simplify right side
    491,188x = 1,117,403,327,329
  5. Step 5: Solve for x
    x = 1,117,403,327,329/491,188
  6. Step 6: Final answer
    x = 2,274,899.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.