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Finding the Third Proportional to 1,004,020.31 and 1,529,560.97

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Solution

The third proportional to 1,004,020.31 and 1,529,560.97 is: 2,330,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,020.31 : 1,529,560.97 = 1,529,560.97 : x
  2. Step 2: Convert to fraction form
    1,004,020.31/1,529,560.97 = 1,529,560.97/x
  3. Step 3: Cross multiply
    1,004,020.31x = 1,529,560.97 × 1,529,560.97
  4. Step 4: Simplify right side
    1,004,020.31x = 2,339,556,757,123.44
  5. Step 5: Solve for x
    x = 2,339,556,757,123.44/1,004,020.31
  6. Step 6: Final answer
    x = 2,330,188.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.