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Finding the Third Proportional to 1,213,016 and 1,902,630.50

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Solution

The third proportional to 1,213,016 and 1,902,630.50 is: 2,984,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,016 : 1,902,630.50 = 1,902,630.50 : x
  2. Step 2: Convert to fraction form
    1,213,016/1,902,630.50 = 1,902,630.50/x
  3. Step 3: Cross multiply
    1,213,016x = 1,902,630.50 × 1,902,630.50
  4. Step 4: Simplify right side
    1,213,016x = 3,620,002,819,530.25
  5. Step 5: Solve for x
    x = 3,620,002,819,530.25/1,213,016
  6. Step 6: Final answer
    x = 2,984,299.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.