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Finding the Third Proportional to 2,799,728 and 5,996,008

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Solution

The third proportional to 2,799,728 and 5,996,008 is: 12,841,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799,728 : 5,996,008 = 5,996,008 : x
  2. Step 2: Convert to fraction form
    2,799,728/5,996,008 = 5,996,008/x
  3. Step 3: Cross multiply
    2,799,728x = 5,996,008 × 5,996,008
  4. Step 4: Simplify right side
    2,799,728x = 35,952,111,936,064
  5. Step 5: Solve for x
    x = 35,952,111,936,064/2,799,728
  6. Step 6: Final answer
    x = 12,841,287.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.