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Finding the Third Proportional to 618,902 and 946,743

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Solution

The third proportional to 618,902 and 946,743 is: 1,448,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,902 : 946,743 = 946,743 : x
  2. Step 2: Convert to fraction form
    618,902/946,743 = 946,743/x
  3. Step 3: Cross multiply
    618,902x = 946,743 × 946,743
  4. Step 4: Simplify right side
    618,902x = 896,322,308,049
  5. Step 5: Solve for x
    x = 896,322,308,049/618,902
  6. Step 6: Final answer
    x = 1,448,245.94

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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.