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Finding the Third Proportional to 2,940,684 and 6,369,906

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Solution

The third proportional to 2,940,684 and 6,369,906 is: 13,798,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940,684 : 6,369,906 = 6,369,906 : x
  2. Step 2: Convert to fraction form
    2,940,684/6,369,906 = 6,369,906/x
  3. Step 3: Cross multiply
    2,940,684x = 6,369,906 × 6,369,906
  4. Step 4: Simplify right side
    2,940,684x = 40,575,702,448,836
  5. Step 5: Solve for x
    x = 40,575,702,448,836/2,940,684
  6. Step 6: Final answer
    x = 13,798,049.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.