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Finding the Third Proportional to 1,404.42 and 2,954.39

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Solution

The third proportional to 1,404.42 and 2,954.39 is: 6,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.42 : 2,954.39 = 2,954.39 : x
  2. Step 2: Convert to fraction form
    1,404.42/2,954.39 = 2,954.39/x
  3. Step 3: Cross multiply
    1,404.42x = 2,954.39 × 2,954.39
  4. Step 4: Simplify right side
    1,404.42x = 8,728,423.97
  5. Step 5: Solve for x
    x = 8,728,423.97/1,404.42
  6. Step 6: Final answer
    x = 6,214.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.