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Finding the Third Proportional to 409,276,162 and 629,093,482

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Solution

The third proportional to 409,276,162 and 629,093,482 is: 966,972,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,276,162 : 629,093,482 = 629,093,482 : x
  2. Step 2: Convert to fraction form
    409,276,162/629,093,482 = 629,093,482/x
  3. Step 3: Cross multiply
    409,276,162x = 629,093,482 × 629,093,482
  4. Step 4: Simplify right side
    409,276,162x = 395,758,609,094,884,352
  5. Step 5: Solve for x
    x = 395,758,609,094,884,352/409,276,162
  6. Step 6: Final answer
    x = 966,972,049.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.