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Finding the Third Proportional to 1,213,856 and 2,659,912

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Solution

The third proportional to 1,213,856 and 2,659,912 is: 5,828,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,856 : 2,659,912 = 2,659,912 : x
  2. Step 2: Convert to fraction form
    1,213,856/2,659,912 = 2,659,912/x
  3. Step 3: Cross multiply
    1,213,856x = 2,659,912 × 2,659,912
  4. Step 4: Simplify right side
    1,213,856x = 7,075,131,847,744
  5. Step 5: Solve for x
    x = 7,075,131,847,744/1,213,856
  6. Step 6: Final answer
    x = 5,828,641.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.