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Finding the Third Proportional to 2,934,296 and 6,428,464

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Solution

The third proportional to 2,934,296 and 6,428,464 is: 14,083,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934,296 : 6,428,464 = 6,428,464 : x
  2. Step 2: Convert to fraction form
    2,934,296/6,428,464 = 6,428,464/x
  3. Step 3: Cross multiply
    2,934,296x = 6,428,464 × 6,428,464
  4. Step 4: Simplify right side
    2,934,296x = 41,325,149,399,296
  5. Step 5: Solve for x
    x = 41,325,149,399,296/2,934,296
  6. Step 6: Final answer
    x = 14,083,497.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.