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Finding the Third Proportional to 866,450 and 1,932,122

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Solution

The third proportional to 866,450 and 1,932,122 is: 4,308,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,450 : 1,932,122 = 1,932,122 : x
  2. Step 2: Convert to fraction form
    866,450/1,932,122 = 1,932,122/x
  3. Step 3: Cross multiply
    866,450x = 1,932,122 × 1,932,122
  4. Step 4: Simplify right side
    866,450x = 3,733,095,422,884
  5. Step 5: Solve for x
    x = 3,733,095,422,884/866,450
  6. Step 6: Final answer
    x = 4,308,494.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.