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Finding the Third Proportional to 684,105.75 and 1,467,838.13

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Solution

The third proportional to 684,105.75 and 1,467,838.13 is: 3,149,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,105.75 : 1,467,838.13 = 1,467,838.13 : x
  2. Step 2: Convert to fraction form
    684,105.75/1,467,838.13 = 1,467,838.13/x
  3. Step 3: Cross multiply
    684,105.75x = 1,467,838.13 × 1,467,838.13
  4. Step 4: Simplify right side
    684,105.75x = 2,154,548,761,203.52
  5. Step 5: Solve for x
    x = 2,154,548,761,203.52/684,105.75
  6. Step 6: Final answer
    x = 3,149,438.17

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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.