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Finding the Third Proportional to 629,357 and 967,926

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Solution

The third proportional to 629,357 and 967,926 is: 1,488,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,357 : 967,926 = 967,926 : x
  2. Step 2: Convert to fraction form
    629,357/967,926 = 967,926/x
  3. Step 3: Cross multiply
    629,357x = 967,926 × 967,926
  4. Step 4: Simplify right side
    629,357x = 936,880,741,476
  5. Step 5: Solve for x
    x = 936,880,741,476/629,357
  6. Step 6: Final answer
    x = 1,488,631.64

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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.