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Finding the Third Proportional to 2,659,462 and 5,878,796

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Solution

The third proportional to 2,659,462 and 5,878,796 is: 12,995,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659,462 : 5,878,796 = 5,878,796 : x
  2. Step 2: Convert to fraction form
    2,659,462/5,878,796 = 5,878,796/x
  3. Step 3: Cross multiply
    2,659,462x = 5,878,796 × 5,878,796
  4. Step 4: Simplify right side
    2,659,462x = 34,560,242,409,616
  5. Step 5: Solve for x
    x = 34,560,242,409,616/2,659,462
  6. Step 6: Final answer
    x = 12,995,200.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.