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Finding the Third Proportional to 681,075 and 1,432,723.50

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Solution

The third proportional to 681,075 and 1,432,723.50 is: 3,013,906.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,075 : 1,432,723.50 = 1,432,723.50 : x
  2. Step 2: Convert to fraction form
    681,075/1,432,723.50 = 1,432,723.50/x
  3. Step 3: Cross multiply
    681,075x = 1,432,723.50 × 1,432,723.50
  4. Step 4: Simplify right side
    681,075x = 2,052,696,627,452.25
  5. Step 5: Solve for x
    x = 2,052,696,627,452.25/681,075
  6. Step 6: Final answer
    x = 3,013,906.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.