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Finding the Third Proportional to 829,756.50 and 1,252,266

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Solution

The third proportional to 829,756.50 and 1,252,266 is: 1,889,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,756.50 : 1,252,266 = 1,252,266 : x
  2. Step 2: Convert to fraction form
    829,756.50/1,252,266 = 1,252,266/x
  3. Step 3: Cross multiply
    829,756.50x = 1,252,266 × 1,252,266
  4. Step 4: Simplify right side
    829,756.50x = 1,568,170,134,756
  5. Step 5: Solve for x
    x = 1,568,170,134,756/829,756.50
  6. Step 6: Final answer
    x = 1,889,916.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.