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Finding the Third Proportional to 848,968 and 1,861,232

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Solution

The third proportional to 848,968 and 1,861,232 is: 4,080,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,968 : 1,861,232 = 1,861,232 : x
  2. Step 2: Convert to fraction form
    848,968/1,861,232 = 1,861,232/x
  3. Step 3: Cross multiply
    848,968x = 1,861,232 × 1,861,232
  4. Step 4: Simplify right side
    848,968x = 3,464,184,557,824
  5. Step 5: Solve for x
    x = 3,464,184,557,824/848,968
  6. Step 6: Final answer
    x = 4,080,465.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.