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Finding the Third Proportional to 629,114 and 1,368,818

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Solution

The third proportional to 629,114 and 1,368,818 is: 2,978,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,114 : 1,368,818 = 1,368,818 : x
  2. Step 2: Convert to fraction form
    629,114/1,368,818 = 1,368,818/x
  3. Step 3: Cross multiply
    629,114x = 1,368,818 × 1,368,818
  4. Step 4: Simplify right side
    629,114x = 1,873,662,717,124
  5. Step 5: Solve for x
    x = 1,873,662,717,124/629,114
  6. Step 6: Final answer
    x = 2,978,256.27

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