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Finding the Third Proportional to 661,442.75 and 1,448,999.25

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Solution

The third proportional to 661,442.75 and 1,448,999.25 is: 3,174,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,442.75 : 1,448,999.25 = 1,448,999.25 : x
  2. Step 2: Convert to fraction form
    661,442.75/1,448,999.25 = 1,448,999.25/x
  3. Step 3: Cross multiply
    661,442.75x = 1,448,999.25 × 1,448,999.25
  4. Step 4: Simplify right side
    661,442.75x = 2,099,598,826,500.56
  5. Step 5: Solve for x
    x = 2,099,598,826,500.56/661,442.75
  6. Step 6: Final answer
    x = 3,174,271.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.