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Finding the Third Proportional to 681,606 and 1,433,722.50

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Solution

The third proportional to 681,606 and 1,433,722.50 is: 3,015,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,606 : 1,433,722.50 = 1,433,722.50 : x
  2. Step 2: Convert to fraction form
    681,606/1,433,722.50 = 1,433,722.50/x
  3. Step 3: Cross multiply
    681,606x = 1,433,722.50 × 1,433,722.50
  4. Step 4: Simplify right side
    681,606x = 2,055,560,207,006.25
  5. Step 5: Solve for x
    x = 2,055,560,207,006.25/681,606
  6. Step 6: Final answer
    x = 3,015,760.14

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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.