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Finding the Third Proportional to 1,303,920 and 1,994,622.75

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Solution

The third proportional to 1,303,920 and 1,994,622.75 is: 3,051,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303,920 : 1,994,622.75 = 1,994,622.75 : x
  2. Step 2: Convert to fraction form
    1,303,920/1,994,622.75 = 1,994,622.75/x
  3. Step 3: Cross multiply
    1,303,920x = 1,994,622.75 × 1,994,622.75
  4. Step 4: Simplify right side
    1,303,920x = 3,978,519,914,817.56
  5. Step 5: Solve for x
    x = 3,978,519,914,817.56/1,303,920
  6. Step 6: Final answer
    x = 3,051,199.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.