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Finding the Third Proportional to 1,823,553 and 4,221,198

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Solution

The third proportional to 1,823,553 and 4,221,198 is: 9,771,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,553 : 4,221,198 = 4,221,198 : x
  2. Step 2: Convert to fraction form
    1,823,553/4,221,198 = 4,221,198/x
  3. Step 3: Cross multiply
    1,823,553x = 4,221,198 × 4,221,198
  4. Step 4: Simplify right side
    1,823,553x = 17,818,512,555,204
  5. Step 5: Solve for x
    x = 17,818,512,555,204/1,823,553
  6. Step 6: Final answer
    x = 9,771,315.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.