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Finding the Third Proportional to 2,960,380 and 6,377,570

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Solution

The third proportional to 2,960,380 and 6,377,570 is: 13,739,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,380 : 6,377,570 = 6,377,570 : x
  2. Step 2: Convert to fraction form
    2,960,380/6,377,570 = 6,377,570/x
  3. Step 3: Cross multiply
    2,960,380x = 6,377,570 × 6,377,570
  4. Step 4: Simplify right side
    2,960,380x = 40,673,399,104,900
  5. Step 5: Solve for x
    x = 40,673,399,104,900/2,960,380
  6. Step 6: Final answer
    x = 13,739,249.39

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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.