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Finding the Third Proportional to 618,400 and 945,991

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Solution

The third proportional to 618,400 and 945,991 is: 1,447,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,400 : 945,991 = 945,991 : x
  2. Step 2: Convert to fraction form
    618,400/945,991 = 945,991/x
  3. Step 3: Cross multiply
    618,400x = 945,991 × 945,991
  4. Step 4: Simplify right side
    618,400x = 894,898,972,081
  5. Step 5: Solve for x
    x = 894,898,972,081/618,400
  6. Step 6: Final answer
    x = 1,447,119.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.