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Finding the Third Proportional to 1,504,635.75 and 2,285,718.75

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Solution

The third proportional to 1,504,635.75 and 2,285,718.75 is: 3,472,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504,635.75 : 2,285,718.75 = 2,285,718.75 : x
  2. Step 2: Convert to fraction form
    1,504,635.75/2,285,718.75 = 2,285,718.75/x
  3. Step 3: Cross multiply
    1,504,635.75x = 2,285,718.75 × 2,285,718.75
  4. Step 4: Simplify right side
    1,504,635.75x = 5,224,510,204,101.56
  5. Step 5: Solve for x
    x = 5,224,510,204,101.56/1,504,635.75
  6. Step 6: Final answer
    x = 3,472,275.73

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Why These Related Problems?

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