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Finding the Third Proportional to 862,893 and 1,350,675

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Solution

The third proportional to 862,893 and 1,350,675 is: 2,114,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,893 : 1,350,675 = 1,350,675 : x
  2. Step 2: Convert to fraction form
    862,893/1,350,675 = 1,350,675/x
  3. Step 3: Cross multiply
    862,893x = 1,350,675 × 1,350,675
  4. Step 4: Simplify right side
    862,893x = 1,824,322,955,625
  5. Step 5: Solve for x
    x = 1,824,322,955,625/862,893
  6. Step 6: Final answer
    x = 2,114,193.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.