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Finding the Third Proportional to 812,197.50 and 1,190,591.25

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Solution

The third proportional to 812,197.50 and 1,190,591.25 is: 1,745,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,197.50 : 1,190,591.25 = 1,190,591.25 : x
  2. Step 2: Convert to fraction form
    812,197.50/1,190,591.25 = 1,190,591.25/x
  3. Step 3: Cross multiply
    812,197.50x = 1,190,591.25 × 1,190,591.25
  4. Step 4: Simplify right side
    812,197.50x = 1,417,507,524,576.56
  5. Step 5: Solve for x
    x = 1,417,507,524,576.56/812,197.50
  6. Step 6: Final answer
    x = 1,745,274.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.