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Finding the Third Proportional to 2,397,080 and 5,149,912

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Solution

The third proportional to 2,397,080 and 5,149,912 is: 11,064,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,080 : 5,149,912 = 5,149,912 : x
  2. Step 2: Convert to fraction form
    2,397,080/5,149,912 = 5,149,912/x
  3. Step 3: Cross multiply
    2,397,080x = 5,149,912 × 5,149,912
  4. Step 4: Simplify right side
    2,397,080x = 26,521,593,607,744
  5. Step 5: Solve for x
    x = 26,521,593,607,744/2,397,080
  6. Step 6: Final answer
    x = 11,064,125.36

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Why These Related Problems?

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