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Finding the Third Proportional to 605,495.25 and 1,427,321.25

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Solution

The third proportional to 605,495.25 and 1,427,321.25 is: 3,364,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,495.25 : 1,427,321.25 = 1,427,321.25 : x
  2. Step 2: Convert to fraction form
    605,495.25/1,427,321.25 = 1,427,321.25/x
  3. Step 3: Cross multiply
    605,495.25x = 1,427,321.25 × 1,427,321.25
  4. Step 4: Simplify right side
    605,495.25x = 2,037,245,950,701.56
  5. Step 5: Solve for x
    x = 2,037,245,950,701.56/605,495.25
  6. Step 6: Final answer
    x = 3,364,594.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.