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Finding the Third Proportional to 2,970,674 and 6,342,244

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Solution

The third proportional to 2,970,674 and 6,342,244 is: 13,540,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970,674 : 6,342,244 = 6,342,244 : x
  2. Step 2: Convert to fraction form
    2,970,674/6,342,244 = 6,342,244/x
  3. Step 3: Cross multiply
    2,970,674x = 6,342,244 × 6,342,244
  4. Step 4: Simplify right side
    2,970,674x = 40,224,058,955,536
  5. Step 5: Solve for x
    x = 40,224,058,955,536/2,970,674
  6. Step 6: Final answer
    x = 13,540,381.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.