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Finding the Third Proportional to 534,706.50 and 1,188,964.50

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Solution

The third proportional to 534,706.50 and 1,188,964.50 is: 2,643,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,706.50 : 1,188,964.50 = 1,188,964.50 : x
  2. Step 2: Convert to fraction form
    534,706.50/1,188,964.50 = 1,188,964.50/x
  3. Step 3: Cross multiply
    534,706.50x = 1,188,964.50 × 1,188,964.50
  4. Step 4: Simplify right side
    534,706.50x = 1,413,636,582,260.25
  5. Step 5: Solve for x
    x = 1,413,636,582,260.25/534,706.50
  6. Step 6: Final answer
    x = 2,643,761.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.