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Finding the Third Proportional to 2,057,018 and 3,083,559

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Solution

The third proportional to 2,057,018 and 3,083,559 is: 4,622,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,018 : 3,083,559 = 3,083,559 : x
  2. Step 2: Convert to fraction form
    2,057,018/3,083,559 = 3,083,559/x
  3. Step 3: Cross multiply
    2,057,018x = 3,083,559 × 3,083,559
  4. Step 4: Simplify right side
    2,057,018x = 9,508,336,106,481
  5. Step 5: Solve for x
    x = 9,508,336,106,481/2,057,018
  6. Step 6: Final answer
    x = 4,622,388.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.