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Finding the Third Proportional to 812,353.50 and 1,257,229.13

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Solution

The third proportional to 812,353.50 and 1,257,229.13 is: 1,945,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,353.50 : 1,257,229.13 = 1,257,229.13 : x
  2. Step 2: Convert to fraction form
    812,353.50/1,257,229.13 = 1,257,229.13/x
  3. Step 3: Cross multiply
    812,353.50x = 1,257,229.13 × 1,257,229.13
  4. Step 4: Simplify right side
    812,353.50x = 1,580,625,072,748.27
  5. Step 5: Solve for x
    x = 1,580,625,072,748.27/812,353.50
  6. Step 6: Final answer
    x = 1,945,735.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.