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Finding the Third Proportional to 2,054,187 and 3,205,637.25

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Solution

The third proportional to 2,054,187 and 3,205,637.25 is: 5,002,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,187 : 3,205,637.25 = 3,205,637.25 : x
  2. Step 2: Convert to fraction form
    2,054,187/3,205,637.25 = 3,205,637.25/x
  3. Step 3: Cross multiply
    2,054,187x = 3,205,637.25 × 3,205,637.25
  4. Step 4: Simplify right side
    2,054,187x = 10,276,110,178,587.56
  5. Step 5: Solve for x
    x = 10,276,110,178,587.56/2,054,187
  6. Step 6: Final answer
    x = 5,002,519.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.