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Finding the Third Proportional to 451,869 and 978,123

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Solution

The third proportional to 451,869 and 978,123 is: 2,117,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,869 : 978,123 = 978,123 : x
  2. Step 2: Convert to fraction form
    451,869/978,123 = 978,123/x
  3. Step 3: Cross multiply
    451,869x = 978,123 × 978,123
  4. Step 4: Simplify right side
    451,869x = 956,724,603,129
  5. Step 5: Solve for x
    x = 956,724,603,129/451,869
  6. Step 6: Final answer
    x = 2,117,260.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.