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Finding the Third Proportional to 1,404.84 and 2,026.27

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Solution

The third proportional to 1,404.84 and 2,026.27 is: 2,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.84 : 2,026.27 = 2,026.27 : x
  2. Step 2: Convert to fraction form
    1,404.84/2,026.27 = 2,026.27/x
  3. Step 3: Cross multiply
    1,404.84x = 2,026.27 × 2,026.27
  4. Step 4: Simplify right side
    1,404.84x = 4,105,752.38
  5. Step 5: Solve for x
    x = 4,105,752.38/1,404.84
  6. Step 6: Final answer
    x = 2,922.57

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.