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Finding the Third Proportional to 894.83 and 1,922.10

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Solution

The third proportional to 894.83 and 1,922.10 is: 4,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.83 : 1,922.10 = 1,922.10 : x
  2. Step 2: Convert to fraction form
    894.83/1,922.10 = 1,922.10/x
  3. Step 3: Cross multiply
    894.83x = 1,922.10 × 1,922.10
  4. Step 4: Simplify right side
    894.83x = 3,694,459.40
  5. Step 5: Solve for x
    x = 3,694,459.40/894.83
  6. Step 6: Final answer
    x = 4,128.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.