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Finding the Third Proportional to 1,204,686 and 1,606,031

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Solution

The third proportional to 1,204,686 and 1,606,031 is: 2,141,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,686 : 1,606,031 = 1,606,031 : x
  2. Step 2: Convert to fraction form
    1,204,686/1,606,031 = 1,606,031/x
  3. Step 3: Cross multiply
    1,204,686x = 1,606,031 × 1,606,031
  4. Step 4: Simplify right side
    1,204,686x = 2,579,335,572,961
  5. Step 5: Solve for x
    x = 2,579,335,572,961/1,204,686
  6. Step 6: Final answer
    x = 2,141,085.37

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.