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Finding the Third Proportional to 2,187,769 and 3,311,837

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Solution

The third proportional to 2,187,769 and 3,311,837 is: 5,013,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187,769 : 3,311,837 = 3,311,837 : x
  2. Step 2: Convert to fraction form
    2,187,769/3,311,837 = 3,311,837/x
  3. Step 3: Cross multiply
    2,187,769x = 3,311,837 × 3,311,837
  4. Step 4: Simplify right side
    2,187,769x = 10,968,264,314,569
  5. Step 5: Solve for x
    x = 10,968,264,314,569/2,187,769
  6. Step 6: Final answer
    x = 5,013,447.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.