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Finding the Third Proportional to 2,693,742 and 5,985,357

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Solution

The third proportional to 2,693,742 and 5,985,357 is: 13,299,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,742 : 5,985,357 = 5,985,357 : x
  2. Step 2: Convert to fraction form
    2,693,742/5,985,357 = 5,985,357/x
  3. Step 3: Cross multiply
    2,693,742x = 5,985,357 × 5,985,357
  4. Step 4: Simplify right side
    2,693,742x = 35,824,498,417,449
  5. Step 5: Solve for x
    x = 35,824,498,417,449/2,693,742
  6. Step 6: Final answer
    x = 13,299,157.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.