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Finding the Third Proportional to 866,439.75 and 1,932,100.13

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Solution

The third proportional to 866,439.75 and 1,932,100.13 is: 4,308,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,439.75 : 1,932,100.13 = 1,932,100.13 : x
  2. Step 2: Convert to fraction form
    866,439.75/1,932,100.13 = 1,932,100.13/x
  3. Step 3: Cross multiply
    866,439.75x = 1,932,100.13 × 1,932,100.13
  4. Step 4: Simplify right side
    866,439.75x = 3,733,010,893,025.02
  5. Step 5: Solve for x
    x = 3,733,010,893,025.02/866,439.75
  6. Step 6: Final answer
    x = 4,308,448.33

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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.