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Finding the Third Proportional to 733,998 and 1,134,393

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Solution

The third proportional to 733,998 and 1,134,393 is: 1,753,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,998 : 1,134,393 = 1,134,393 : x
  2. Step 2: Convert to fraction form
    733,998/1,134,393 = 1,134,393/x
  3. Step 3: Cross multiply
    733,998x = 1,134,393 × 1,134,393
  4. Step 4: Simplify right side
    733,998x = 1,286,847,478,449
  5. Step 5: Solve for x
    x = 1,286,847,478,449/733,998
  6. Step 6: Final answer
    x = 1,753,202.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.