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Finding the Third Proportional to 366,869 and 794,782

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Solution

The third proportional to 366,869 and 794,782 is: 1,721,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,869 : 794,782 = 794,782 : x
  2. Step 2: Convert to fraction form
    366,869/794,782 = 794,782/x
  3. Step 3: Cross multiply
    366,869x = 794,782 × 794,782
  4. Step 4: Simplify right side
    366,869x = 631,678,427,524
  5. Step 5: Solve for x
    x = 631,678,427,524/366,869
  6. Step 6: Final answer
    x = 1,721,809.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.