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Finding the Third Proportional to 2,053,744 and 4,579,722

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Solution

The third proportional to 2,053,744 and 4,579,722 is: 10,212,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,744 : 4,579,722 = 4,579,722 : x
  2. Step 2: Convert to fraction form
    2,053,744/4,579,722 = 4,579,722/x
  3. Step 3: Cross multiply
    2,053,744x = 4,579,722 × 4,579,722
  4. Step 4: Simplify right side
    2,053,744x = 20,973,853,597,284
  5. Step 5: Solve for x
    x = 20,973,853,597,284/2,053,744
  6. Step 6: Final answer
    x = 10,212,496.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.