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Finding the Third Proportional to 2,760,982 and 5,931,822

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Solution

The third proportional to 2,760,982 and 5,931,822 is: 12,744,201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760,982 : 5,931,822 = 5,931,822 : x
  2. Step 2: Convert to fraction form
    2,760,982/5,931,822 = 5,931,822/x
  3. Step 3: Cross multiply
    2,760,982x = 5,931,822 × 5,931,822
  4. Step 4: Simplify right side
    2,760,982x = 35,186,512,239,684
  5. Step 5: Solve for x
    x = 35,186,512,239,684/2,760,982
  6. Step 6: Final answer
    x = 12,744,201.97

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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.