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Finding the Third Proportional to 2,256,275.25 and 3,495,185.44

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Solution

The third proportional to 2,256,275.25 and 3,495,185.44 is: 5,414,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256,275.25 : 3,495,185.44 = 3,495,185.44 : x
  2. Step 2: Convert to fraction form
    2,256,275.25/3,495,185.44 = 3,495,185.44/x
  3. Step 3: Cross multiply
    2,256,275.25x = 3,495,185.44 × 3,495,185.44
  4. Step 4: Simplify right side
    2,256,275.25x = 12,216,321,242,512.07
  5. Step 5: Solve for x
    x = 12,216,321,242,512.07/2,256,275.25
  6. Step 6: Final answer
    x = 5,414,375.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.