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Finding the Third Proportional to 2,740,760 and 5,901,460

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Solution

The third proportional to 2,740,760 and 5,901,460 is: 12,707,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740,760 : 5,901,460 = 5,901,460 : x
  2. Step 2: Convert to fraction form
    2,740,760/5,901,460 = 5,901,460/x
  3. Step 3: Cross multiply
    2,740,760x = 5,901,460 × 5,901,460
  4. Step 4: Simplify right side
    2,740,760x = 34,827,230,131,600
  5. Step 5: Solve for x
    x = 34,827,230,131,600/2,740,760
  6. Step 6: Final answer
    x = 12,707,143.32

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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.