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Finding the Third Proportional to 2,924,902 and 6,521,966

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Solution

The third proportional to 2,924,902 and 6,521,966 is: 14,542,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,902 : 6,521,966 = 6,521,966 : x
  2. Step 2: Convert to fraction form
    2,924,902/6,521,966 = 6,521,966/x
  3. Step 3: Cross multiply
    2,924,902x = 6,521,966 × 6,521,966
  4. Step 4: Simplify right side
    2,924,902x = 42,536,040,505,156
  5. Step 5: Solve for x
    x = 42,536,040,505,156/2,924,902
  6. Step 6: Final answer
    x = 14,542,723.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.