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Finding the Third Proportional to 1,605,238 and 2,201,170

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Solution

The third proportional to 1,605,238 and 2,201,170 is: 3,018,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,238 : 2,201,170 = 2,201,170 : x
  2. Step 2: Convert to fraction form
    1,605,238/2,201,170 = 2,201,170/x
  3. Step 3: Cross multiply
    1,605,238x = 2,201,170 × 2,201,170
  4. Step 4: Simplify right side
    1,605,238x = 4,845,149,368,900
  5. Step 5: Solve for x
    x = 4,845,149,368,900/1,605,238
  6. Step 6: Final answer
    x = 3,018,337.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.