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Finding the Third Proportional to 1,454.63 and 2,128.78

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Solution

The third proportional to 1,454.63 and 2,128.78 is: 3,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.63 : 2,128.78 = 2,128.78 : x
  2. Step 2: Convert to fraction form
    1,454.63/2,128.78 = 2,128.78/x
  3. Step 3: Cross multiply
    1,454.63x = 2,128.78 × 2,128.78
  4. Step 4: Simplify right side
    1,454.63x = 4,531,709.61
  5. Step 5: Solve for x
    x = 4,531,709.61/1,454.63
  6. Step 6: Final answer
    x = 3,115.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.