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Finding the Third Proportional to 854,414 and 1,845,880

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Solution

The third proportional to 854,414 and 1,845,880 is: 3,987,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,414 : 1,845,880 = 1,845,880 : x
  2. Step 2: Convert to fraction form
    854,414/1,845,880 = 1,845,880/x
  3. Step 3: Cross multiply
    854,414x = 1,845,880 × 1,845,880
  4. Step 4: Simplify right side
    854,414x = 3,407,272,974,400
  5. Step 5: Solve for x
    x = 3,407,272,974,400/854,414
  6. Step 6: Final answer
    x = 3,987,847.78

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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.