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Finding the Third Proportional to 1,640,652 and 2,567,838

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Solution

The third proportional to 1,640,652 and 2,567,838 is: 4,019,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,652 : 2,567,838 = 2,567,838 : x
  2. Step 2: Convert to fraction form
    1,640,652/2,567,838 = 2,567,838/x
  3. Step 3: Cross multiply
    1,640,652x = 2,567,838 × 2,567,838
  4. Step 4: Simplify right side
    1,640,652x = 6,593,791,994,244
  5. Step 5: Solve for x
    x = 6,593,791,994,244/1,640,652
  6. Step 6: Final answer
    x = 4,019,007.07

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