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Finding the Third Proportional to 2,057,806 and 4,431,671

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Solution

The third proportional to 2,057,806 and 4,431,671 is: 9,544,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,806 : 4,431,671 = 4,431,671 : x
  2. Step 2: Convert to fraction form
    2,057,806/4,431,671 = 4,431,671/x
  3. Step 3: Cross multiply
    2,057,806x = 4,431,671 × 4,431,671
  4. Step 4: Simplify right side
    2,057,806x = 19,639,707,852,241
  5. Step 5: Solve for x
    x = 19,639,707,852,241/2,057,806
  6. Step 6: Final answer
    x = 9,544,003.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.