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Finding the Third Proportional to 925,731 and 1,228,344.75

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Solution

The third proportional to 925,731 and 1,228,344.75 is: 1,629,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,731 : 1,228,344.75 = 1,228,344.75 : x
  2. Step 2: Convert to fraction form
    925,731/1,228,344.75 = 1,228,344.75/x
  3. Step 3: Cross multiply
    925,731x = 1,228,344.75 × 1,228,344.75
  4. Step 4: Simplify right side
    925,731x = 1,508,830,824,852.56
  5. Step 5: Solve for x
    x = 1,508,830,824,852.56/925,731
  6. Step 6: Final answer
    x = 1,629,880.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.