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Finding the Third Proportional to 699,832.50 and 1,429,191

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Solution

The third proportional to 699,832.50 and 1,429,191 is: 2,918,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,832.50 : 1,429,191 = 1,429,191 : x
  2. Step 2: Convert to fraction form
    699,832.50/1,429,191 = 1,429,191/x
  3. Step 3: Cross multiply
    699,832.50x = 1,429,191 × 1,429,191
  4. Step 4: Simplify right side
    699,832.50x = 2,042,586,914,481
  5. Step 5: Solve for x
    x = 2,042,586,914,481/699,832.50
  6. Step 6: Final answer
    x = 2,918,679.70

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.