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Finding the Third Proportional to 769,489.88 and 1,149,926.63

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Solution

The third proportional to 769,489.88 and 1,149,926.63 is: 1,718,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,489.88 : 1,149,926.63 = 1,149,926.63 : x
  2. Step 2: Convert to fraction form
    769,489.88/1,149,926.63 = 1,149,926.63/x
  3. Step 3: Cross multiply
    769,489.88x = 1,149,926.63 × 1,149,926.63
  4. Step 4: Simplify right side
    769,489.88x = 1,322,331,242,883.89
  5. Step 5: Solve for x
    x = 1,322,331,242,883.89/769,489.88
  6. Step 6: Final answer
    x = 1,718,451.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.