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Finding the Third Proportional to 784,845.75 and 1,177,269

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Solution

The third proportional to 784,845.75 and 1,177,269 is: 1,765,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,845.75 : 1,177,269 = 1,177,269 : x
  2. Step 2: Convert to fraction form
    784,845.75/1,177,269 = 1,177,269/x
  3. Step 3: Cross multiply
    784,845.75x = 1,177,269 × 1,177,269
  4. Step 4: Simplify right side
    784,845.75x = 1,385,962,298,361
  5. Step 5: Solve for x
    x = 1,385,962,298,361/784,845.75
  6. Step 6: Final answer
    x = 1,765,904.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.