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Finding the Third Proportional to 414,664 and 871,110

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Solution

The third proportional to 414,664 and 871,110 is: 1,829,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,664 : 871,110 = 871,110 : x
  2. Step 2: Convert to fraction form
    414,664/871,110 = 871,110/x
  3. Step 3: Cross multiply
    414,664x = 871,110 × 871,110
  4. Step 4: Simplify right side
    414,664x = 758,832,632,100
  5. Step 5: Solve for x
    x = 758,832,632,100/414,664
  6. Step 6: Final answer
    x = 1,829,994.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.