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Finding the Third Proportional to 622,869 and 862,848

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Solution

The third proportional to 622,869 and 862,848 is: 1,195,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,869 : 862,848 = 862,848 : x
  2. Step 2: Convert to fraction form
    622,869/862,848 = 862,848/x
  3. Step 3: Cross multiply
    622,869x = 862,848 × 862,848
  4. Step 4: Simplify right side
    622,869x = 744,506,671,104
  5. Step 5: Solve for x
    x = 744,506,671,104/622,869
  6. Step 6: Final answer
    x = 1,195,286.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.