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Finding the Third Proportional to 400,896 and 855,168

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Solution

The third proportional to 400,896 and 855,168 is: 1,824,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,896 : 855,168 = 855,168 : x
  2. Step 2: Convert to fraction form
    400,896/855,168 = 855,168/x
  3. Step 3: Cross multiply
    400,896x = 855,168 × 855,168
  4. Step 4: Simplify right side
    400,896x = 731,312,308,224
  5. Step 5: Solve for x
    x = 731,312,308,224/400,896
  6. Step 6: Final answer
    x = 1,824,194.57

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Why These Related Problems?

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