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Finding the Third Proportional to 854,616 and 1,846,284

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Solution

The third proportional to 854,616 and 1,846,284 is: 3,988,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,616 : 1,846,284 = 1,846,284 : x
  2. Step 2: Convert to fraction form
    854,616/1,846,284 = 1,846,284/x
  3. Step 3: Cross multiply
    854,616x = 1,846,284 × 1,846,284
  4. Step 4: Simplify right side
    854,616x = 3,408,764,608,656
  5. Step 5: Solve for x
    x = 3,408,764,608,656/854,616
  6. Step 6: Final answer
    x = 3,988,650.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.