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Finding the Third Proportional to 1,147,830.75 and 2,505,485.25

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Solution

The third proportional to 1,147,830.75 and 2,505,485.25 is: 5,468,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,830.75 : 2,505,485.25 = 2,505,485.25 : x
  2. Step 2: Convert to fraction form
    1,147,830.75/2,505,485.25 = 2,505,485.25/x
  3. Step 3: Cross multiply
    1,147,830.75x = 2,505,485.25 × 2,505,485.25
  4. Step 4: Simplify right side
    1,147,830.75x = 6,277,456,337,967.56
  5. Step 5: Solve for x
    x = 6,277,456,337,967.56/1,147,830.75
  6. Step 6: Final answer
    x = 5,468,973.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.