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Finding the Third Proportional to 825,865.88 and 1,449,069.75

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Solution

The third proportional to 825,865.88 and 1,449,069.75 is: 2,542,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,865.88 : 1,449,069.75 = 1,449,069.75 : x
  2. Step 2: Convert to fraction form
    825,865.88/1,449,069.75 = 1,449,069.75/x
  3. Step 3: Cross multiply
    825,865.88x = 1,449,069.75 × 1,449,069.75
  4. Step 4: Simplify right side
    825,865.88x = 2,099,803,140,365.06
  5. Step 5: Solve for x
    x = 2,099,803,140,365.06/825,865.88
  6. Step 6: Final answer
    x = 2,542,547.41

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.