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Finding the Third Proportional to 854,620 and 1,846,292

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Solution

The third proportional to 854,620 and 1,846,292 is: 3,988,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,620 : 1,846,292 = 1,846,292 : x
  2. Step 2: Convert to fraction form
    854,620/1,846,292 = 1,846,292/x
  3. Step 3: Cross multiply
    854,620x = 1,846,292 × 1,846,292
  4. Step 4: Simplify right side
    854,620x = 3,408,794,149,264
  5. Step 5: Solve for x
    x = 3,408,794,149,264/854,620
  6. Step 6: Final answer
    x = 3,988,666.48

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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.