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Finding the Third Proportional to 701,896.50 and 1,437,059.25

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Solution

The third proportional to 701,896.50 and 1,437,059.25 is: 2,942,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,896.50 : 1,437,059.25 = 1,437,059.25 : x
  2. Step 2: Convert to fraction form
    701,896.50/1,437,059.25 = 1,437,059.25/x
  3. Step 3: Cross multiply
    701,896.50x = 1,437,059.25 × 1,437,059.25
  4. Step 4: Simplify right side
    701,896.50x = 2,065,139,288,010.56
  5. Step 5: Solve for x
    x = 2,065,139,288,010.56/701,896.50
  6. Step 6: Final answer
    x = 2,942,227.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.