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Finding the Third Proportional to 733,950 and 1,134,322

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Solution

The third proportional to 733,950 and 1,134,322 is: 1,753,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,950 : 1,134,322 = 1,134,322 : x
  2. Step 2: Convert to fraction form
    733,950/1,134,322 = 1,134,322/x
  3. Step 3: Cross multiply
    733,950x = 1,134,322 × 1,134,322
  4. Step 4: Simplify right side
    733,950x = 1,286,686,399,684
  5. Step 5: Solve for x
    x = 1,286,686,399,684/733,950
  6. Step 6: Final answer
    x = 1,753,098.17

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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.