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Finding the Third Proportional to 2,161,786 and 4,692,788

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Solution

The third proportional to 2,161,786 and 4,692,788 is: 10,187,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,786 : 4,692,788 = 4,692,788 : x
  2. Step 2: Convert to fraction form
    2,161,786/4,692,788 = 4,692,788/x
  3. Step 3: Cross multiply
    2,161,786x = 4,692,788 × 4,692,788
  4. Step 4: Simplify right side
    2,161,786x = 22,022,259,212,944
  5. Step 5: Solve for x
    x = 22,022,259,212,944/2,161,786
  6. Step 6: Final answer
    x = 10,187,067.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.