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Finding the Third Proportional to 862,228 and 1,305,268

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Solution

The third proportional to 862,228 and 1,305,268 is: 1,975,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,228 : 1,305,268 = 1,305,268 : x
  2. Step 2: Convert to fraction form
    862,228/1,305,268 = 1,305,268/x
  3. Step 3: Cross multiply
    862,228x = 1,305,268 × 1,305,268
  4. Step 4: Simplify right side
    862,228x = 1,703,724,551,824
  5. Step 5: Solve for x
    x = 1,703,724,551,824/862,228
  6. Step 6: Final answer
    x = 1,975,955.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.