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Finding the Third Proportional to 685,199.25 and 1,507,086

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Solution

The third proportional to 685,199.25 and 1,507,086 is: 3,314,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,199.25 : 1,507,086 = 1,507,086 : x
  2. Step 2: Convert to fraction form
    685,199.25/1,507,086 = 1,507,086/x
  3. Step 3: Cross multiply
    685,199.25x = 1,507,086 × 1,507,086
  4. Step 4: Simplify right side
    685,199.25x = 2,271,308,211,396
  5. Step 5: Solve for x
    x = 2,271,308,211,396/685,199.25
  6. Step 6: Final answer
    x = 3,314,814.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.