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Finding the Third Proportional to 1,640,168.37 and 2,308,708.83

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Solution

The third proportional to 1,640,168.37 and 2,308,708.83 is: 3,249,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,168.37 : 2,308,708.83 = 2,308,708.83 : x
  2. Step 2: Convert to fraction form
    1,640,168.37/2,308,708.83 = 2,308,708.83/x
  3. Step 3: Cross multiply
    1,640,168.37x = 2,308,708.83 × 2,308,708.83
  4. Step 4: Simplify right side
    1,640,168.37x = 5,330,136,453,062.31
  5. Step 5: Solve for x
    x = 5,330,136,453,062.31/1,640,168.37
  6. Step 6: Final answer
    x = 3,249,749.57

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.