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Finding the Third Proportional to 851,625 and 1,854,450

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Solution

The third proportional to 851,625 and 1,854,450 is: 4,038,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,625 : 1,854,450 = 1,854,450 : x
  2. Step 2: Convert to fraction form
    851,625/1,854,450 = 1,854,450/x
  3. Step 3: Cross multiply
    851,625x = 1,854,450 × 1,854,450
  4. Step 4: Simplify right side
    851,625x = 3,438,984,802,500
  5. Step 5: Solve for x
    x = 3,438,984,802,500/851,625
  6. Step 6: Final answer
    x = 4,038,144.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.