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Finding the Third Proportional to 1,640,577.75 and 2,568,390

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Solution

The third proportional to 1,640,577.75 and 2,568,390 is: 4,020,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,577.75 : 2,568,390 = 2,568,390 : x
  2. Step 2: Convert to fraction form
    1,640,577.75/2,568,390 = 2,568,390/x
  3. Step 3: Cross multiply
    1,640,577.75x = 2,568,390 × 2,568,390
  4. Step 4: Simplify right side
    1,640,577.75x = 6,596,627,192,100
  5. Step 5: Solve for x
    x = 6,596,627,192,100/1,640,577.75
  6. Step 6: Final answer
    x = 4,020,917.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.