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Finding the Third Proportional to 734,025.75 and 1,611,668.25

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Solution

The third proportional to 734,025.75 and 1,611,668.25 is: 3,538,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,025.75 : 1,611,668.25 = 1,611,668.25 : x
  2. Step 2: Convert to fraction form
    734,025.75/1,611,668.25 = 1,611,668.25/x
  3. Step 3: Cross multiply
    734,025.75x = 1,611,668.25 × 1,611,668.25
  4. Step 4: Simplify right side
    734,025.75x = 2,597,474,548,058.06
  5. Step 5: Solve for x
    x = 2,597,474,548,058.06/734,025.75
  6. Step 6: Final answer
    x = 3,538,669.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.