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Finding the Third Proportional to 1,070.41 and 1,619.43

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Solution

The third proportional to 1,070.41 and 1,619.43 is: 2,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.41 : 1,619.43 = 1,619.43 : x
  2. Step 2: Convert to fraction form
    1,070.41/1,619.43 = 1,619.43/x
  3. Step 3: Cross multiply
    1,070.41x = 1,619.43 × 1,619.43
  4. Step 4: Simplify right side
    1,070.41x = 2,622,542.23
  5. Step 5: Solve for x
    x = 2,622,542.23/1,070.41
  6. Step 6: Final answer
    x = 2,450.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.