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Finding the Third Proportional to 1,145,137.50 and 1,720,257.75

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Solution

The third proportional to 1,145,137.50 and 1,720,257.75 is: 2,584,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,137.50 : 1,720,257.75 = 1,720,257.75 : x
  2. Step 2: Convert to fraction form
    1,145,137.50/1,720,257.75 = 1,720,257.75/x
  3. Step 3: Cross multiply
    1,145,137.50x = 1,720,257.75 × 1,720,257.75
  4. Step 4: Simplify right side
    1,145,137.50x = 2,959,286,726,435.06
  5. Step 5: Solve for x
    x = 2,959,286,726,435.06/1,145,137.50
  6. Step 6: Final answer
    x = 2,584,219.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.