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Finding the Third Proportional to 1,605,514 and 2,201,619

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Solution

The third proportional to 1,605,514 and 2,201,619 is: 3,019,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,514 : 2,201,619 = 2,201,619 : x
  2. Step 2: Convert to fraction form
    1,605,514/2,201,619 = 2,201,619/x
  3. Step 3: Cross multiply
    1,605,514x = 2,201,619 × 2,201,619
  4. Step 4: Simplify right side
    1,605,514x = 4,847,126,221,161
  5. Step 5: Solve for x
    x = 4,847,126,221,161/1,605,514
  6. Step 6: Final answer
    x = 3,019,049.49

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