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Finding the Third Proportional to 386,982 and 848,321

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Solution

The third proportional to 386,982 and 848,321 is: 1,859,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,982 : 848,321 = 848,321 : x
  2. Step 2: Convert to fraction form
    386,982/848,321 = 848,321/x
  3. Step 3: Cross multiply
    386,982x = 848,321 × 848,321
  4. Step 4: Simplify right side
    386,982x = 719,648,519,041
  5. Step 5: Solve for x
    x = 719,648,519,041/386,982
  6. Step 6: Final answer
    x = 1,859,643.39

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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.