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Finding the Third Proportional to 637,116 and 1,368,684

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Solution

The third proportional to 637,116 and 1,368,684 is: 2,940,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,116 : 1,368,684 = 1,368,684 : x
  2. Step 2: Convert to fraction form
    637,116/1,368,684 = 1,368,684/x
  3. Step 3: Cross multiply
    637,116x = 1,368,684 × 1,368,684
  4. Step 4: Simplify right side
    637,116x = 1,873,295,891,856
  5. Step 5: Solve for x
    x = 1,873,295,891,856/637,116
  6. Step 6: Final answer
    x = 2,940,274.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.