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Finding the Third Proportional to 640,997.50 and 1,367,805

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Solution

The third proportional to 640,997.50 and 1,367,805 is: 2,918,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,997.50 : 1,367,805 = 1,367,805 : x
  2. Step 2: Convert to fraction form
    640,997.50/1,367,805 = 1,367,805/x
  3. Step 3: Cross multiply
    640,997.50x = 1,367,805 × 1,367,805
  4. Step 4: Simplify right side
    640,997.50x = 1,870,890,518,025
  5. Step 5: Solve for x
    x = 1,870,890,518,025/640,997.50
  6. Step 6: Final answer
    x = 2,918,717.34

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.