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Finding the Third Proportional to 984,322 and 1,496,393

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Solution

The third proportional to 984,322 and 1,496,393 is: 2,274,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,322 : 1,496,393 = 1,496,393 : x
  2. Step 2: Convert to fraction form
    984,322/1,496,393 = 1,496,393/x
  3. Step 3: Cross multiply
    984,322x = 1,496,393 × 1,496,393
  4. Step 4: Simplify right side
    984,322x = 2,239,192,010,449
  5. Step 5: Solve for x
    x = 2,239,192,010,449/984,322
  6. Step 6: Final answer
    x = 2,274,857.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.