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Finding the Third Proportional to 451,848 and 978,085

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Solution

The third proportional to 451,848 and 978,085 is: 2,117,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,848 : 978,085 = 978,085 : x
  2. Step 2: Convert to fraction form
    451,848/978,085 = 978,085/x
  3. Step 3: Cross multiply
    451,848x = 978,085 × 978,085
  4. Step 4: Simplify right side
    451,848x = 956,650,267,225
  5. Step 5: Solve for x
    x = 956,650,267,225/451,848
  6. Step 6: Final answer
    x = 2,117,194.87

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