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Finding the Third Proportional to 923,724.50 and 1,984,969

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Solution

The third proportional to 923,724.50 and 1,984,969 is: 4,265,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,724.50 : 1,984,969 = 1,984,969 : x
  2. Step 2: Convert to fraction form
    923,724.50/1,984,969 = 1,984,969/x
  3. Step 3: Cross multiply
    923,724.50x = 1,984,969 × 1,984,969
  4. Step 4: Simplify right side
    923,724.50x = 3,940,101,930,961
  5. Step 5: Solve for x
    x = 3,940,101,930,961/923,724.50
  6. Step 6: Final answer
    x = 4,265,451.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.