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Finding the Third Proportional to 609,727.50 and 1,340,124.75

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Solution

The third proportional to 609,727.50 and 1,340,124.75 is: 2,945,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,727.50 : 1,340,124.75 = 1,340,124.75 : x
  2. Step 2: Convert to fraction form
    609,727.50/1,340,124.75 = 1,340,124.75/x
  3. Step 3: Cross multiply
    609,727.50x = 1,340,124.75 × 1,340,124.75
  4. Step 4: Simplify right side
    609,727.50x = 1,795,934,345,562.56
  5. Step 5: Solve for x
    x = 1,795,934,345,562.56/609,727.50
  6. Step 6: Final answer
    x = 2,945,470.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.