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Finding the Third Proportional to 2,728,625 and 5,941,335

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Solution

The third proportional to 2,728,625 and 5,941,335 is: 12,936,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,625 : 5,941,335 = 5,941,335 : x
  2. Step 2: Convert to fraction form
    2,728,625/5,941,335 = 5,941,335/x
  3. Step 3: Cross multiply
    2,728,625x = 5,941,335 × 5,941,335
  4. Step 4: Simplify right side
    2,728,625x = 35,299,461,582,225
  5. Step 5: Solve for x
    x = 35,299,461,582,225/2,728,625
  6. Step 6: Final answer
    x = 12,936,721.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.