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Finding the Third Proportional to 1,828,809 and 4,019,616

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Solution

The third proportional to 1,828,809 and 4,019,616 is: 8,834,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,809 : 4,019,616 = 4,019,616 : x
  2. Step 2: Convert to fraction form
    1,828,809/4,019,616 = 4,019,616/x
  3. Step 3: Cross multiply
    1,828,809x = 4,019,616 × 4,019,616
  4. Step 4: Simplify right side
    1,828,809x = 16,157,312,787,456
  5. Step 5: Solve for x
    x = 16,157,312,787,456/1,828,809
  6. Step 6: Final answer
    x = 8,834,882.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.