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Finding the Third Proportional to 789,034.50 and 1,725,684.75

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Solution

The third proportional to 789,034.50 and 1,725,684.75 is: 3,774,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,034.50 : 1,725,684.75 = 1,725,684.75 : x
  2. Step 2: Convert to fraction form
    789,034.50/1,725,684.75 = 1,725,684.75/x
  3. Step 3: Cross multiply
    789,034.50x = 1,725,684.75 × 1,725,684.75
  4. Step 4: Simplify right side
    789,034.50x = 2,977,987,856,382.56
  5. Step 5: Solve for x
    x = 2,977,987,856,382.56/789,034.50
  6. Step 6: Final answer
    x = 3,774,217.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.