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Finding the Third Proportional to 2,255,483.25 and 5,262,975

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Solution

The third proportional to 2,255,483.25 and 5,262,975 is: 12,280,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,483.25 : 5,262,975 = 5,262,975 : x
  2. Step 2: Convert to fraction form
    2,255,483.25/5,262,975 = 5,262,975/x
  3. Step 3: Cross multiply
    2,255,483.25x = 5,262,975 × 5,262,975
  4. Step 4: Simplify right side
    2,255,483.25x = 27,698,905,850,625
  5. Step 5: Solve for x
    x = 27,698,905,850,625/2,255,483.25
  6. Step 6: Final answer
    x = 12,280,696.76

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.