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Finding the Third Proportional to 629,684 and 1,358,874

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Solution

The third proportional to 629,684 and 1,358,874 is: 2,932,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,684 : 1,358,874 = 1,358,874 : x
  2. Step 2: Convert to fraction form
    629,684/1,358,874 = 1,358,874/x
  3. Step 3: Cross multiply
    629,684x = 1,358,874 × 1,358,874
  4. Step 4: Simplify right side
    629,684x = 1,846,538,547,876
  5. Step 5: Solve for x
    x = 1,846,538,547,876/629,684
  6. Step 6: Final answer
    x = 2,932,484.47

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Why These Related Problems?

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