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Finding the Third Proportional to 1,419,233 and 3,074,689

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Solution

The third proportional to 1,419,233 and 3,074,689 is: 6,661,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,233 : 3,074,689 = 3,074,689 : x
  2. Step 2: Convert to fraction form
    1,419,233/3,074,689 = 3,074,689/x
  3. Step 3: Cross multiply
    1,419,233x = 3,074,689 × 3,074,689
  4. Step 4: Simplify right side
    1,419,233x = 9,453,712,446,721
  5. Step 5: Solve for x
    x = 9,453,712,446,721/1,419,233
  6. Step 6: Final answer
    x = 6,661,141.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.