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Finding the Third Proportional to 711,103.50 and 1,505,839.50

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Solution

The third proportional to 711,103.50 and 1,505,839.50 is: 3,188,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,103.50 : 1,505,839.50 = 1,505,839.50 : x
  2. Step 2: Convert to fraction form
    711,103.50/1,505,839.50 = 1,505,839.50/x
  3. Step 3: Cross multiply
    711,103.50x = 1,505,839.50 × 1,505,839.50
  4. Step 4: Simplify right side
    711,103.50x = 2,267,552,599,760.25
  5. Step 5: Solve for x
    x = 2,267,552,599,760.25/711,103.50
  6. Step 6: Final answer
    x = 3,188,779.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.