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Finding the Third Proportional to 832,163 and 1,792,509

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Solution

The third proportional to 832,163 and 1,792,509 is: 3,861,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,163 : 1,792,509 = 1,792,509 : x
  2. Step 2: Convert to fraction form
    832,163/1,792,509 = 1,792,509/x
  3. Step 3: Cross multiply
    832,163x = 1,792,509 × 1,792,509
  4. Step 4: Simplify right side
    832,163x = 3,213,088,515,081
  5. Step 5: Solve for x
    x = 3,213,088,515,081/832,163
  6. Step 6: Final answer
    x = 3,861,128.79

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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.