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Finding the Third Proportional to 825,745.50 and 1,750,722.50

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Solution

The third proportional to 825,745.50 and 1,750,722.50 is: 3,711,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,745.50 : 1,750,722.50 = 1,750,722.50 : x
  2. Step 2: Convert to fraction form
    825,745.50/1,750,722.50 = 1,750,722.50/x
  3. Step 3: Cross multiply
    825,745.50x = 1,750,722.50 × 1,750,722.50
  4. Step 4: Simplify right side
    825,745.50x = 3,065,029,272,006.25
  5. Step 5: Solve for x
    x = 3,065,029,272,006.25/825,745.50
  6. Step 6: Final answer
    x = 3,711,832.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.