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Finding the Third Proportional to 867,972 and 1,314,198

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Solution

The third proportional to 867,972 and 1,314,198 is: 1,989,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,972 : 1,314,198 = 1,314,198 : x
  2. Step 2: Convert to fraction form
    867,972/1,314,198 = 1,314,198/x
  3. Step 3: Cross multiply
    867,972x = 1,314,198 × 1,314,198
  4. Step 4: Simplify right side
    867,972x = 1,727,116,383,204
  5. Step 5: Solve for x
    x = 1,727,116,383,204/867,972
  6. Step 6: Final answer
    x = 1,989,829.61

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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.