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Finding the Third Proportional to 436,815 and 954,450

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Solution

The third proportional to 436,815 and 954,450 is: 2,085,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,815 : 954,450 = 954,450 : x
  2. Step 2: Convert to fraction form
    436,815/954,450 = 954,450/x
  3. Step 3: Cross multiply
    436,815x = 954,450 × 954,450
  4. Step 4: Simplify right side
    436,815x = 910,974,802,500
  5. Step 5: Solve for x
    x = 910,974,802,500/436,815
  6. Step 6: Final answer
    x = 2,085,493.41

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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.