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Finding the Third Proportional to 629,194 and 1,368,964

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Solution

The third proportional to 629,194 and 1,368,964 is: 2,978,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,194 : 1,368,964 = 1,368,964 : x
  2. Step 2: Convert to fraction form
    629,194/1,368,964 = 1,368,964/x
  3. Step 3: Cross multiply
    629,194x = 1,368,964 × 1,368,964
  4. Step 4: Simplify right side
    629,194x = 1,874,062,433,296
  5. Step 5: Solve for x
    x = 1,874,062,433,296/629,194
  6. Step 6: Final answer
    x = 2,978,512.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.