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Finding the Third Proportional to 1,291,781 and 2,780,986

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Solution

The third proportional to 1,291,781 and 2,780,986 is: 5,986,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,781 : 2,780,986 = 2,780,986 : x
  2. Step 2: Convert to fraction form
    1,291,781/2,780,986 = 2,780,986/x
  3. Step 3: Cross multiply
    1,291,781x = 2,780,986 × 2,780,986
  4. Step 4: Simplify right side
    1,291,781x = 7,733,883,132,196
  5. Step 5: Solve for x
    x = 7,733,883,132,196/1,291,781
  6. Step 6: Final answer
    x = 5,986,992.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.