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Finding the Third Proportional to 629,144 and 1,357,936

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Solution

The third proportional to 629,144 and 1,357,936 is: 2,930,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,144 : 1,357,936 = 1,357,936 : x
  2. Step 2: Convert to fraction form
    629,144/1,357,936 = 1,357,936/x
  3. Step 3: Cross multiply
    629,144x = 1,357,936 × 1,357,936
  4. Step 4: Simplify right side
    629,144x = 1,843,990,180,096
  5. Step 5: Solve for x
    x = 1,843,990,180,096/629,144
  6. Step 6: Final answer
    x = 2,930,950.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.