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Finding the Third Proportional to 2,728,630 and 5,941,346

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Solution

The third proportional to 2,728,630 and 5,941,346 is: 12,936,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,630 : 5,941,346 = 5,941,346 : x
  2. Step 2: Convert to fraction form
    2,728,630/5,941,346 = 5,941,346/x
  3. Step 3: Cross multiply
    2,728,630x = 5,941,346 × 5,941,346
  4. Step 4: Simplify right side
    2,728,630x = 35,299,592,291,716
  5. Step 5: Solve for x
    x = 35,299,592,291,716/2,728,630
  6. Step 6: Final answer
    x = 12,936,745.65

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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.