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Finding the Third Proportional to 549,854 and 1,149,954

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Solution

The third proportional to 549,854 and 1,149,954 is: 2,404,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,854 : 1,149,954 = 1,149,954 : x
  2. Step 2: Convert to fraction form
    549,854/1,149,954 = 1,149,954/x
  3. Step 3: Cross multiply
    549,854x = 1,149,954 × 1,149,954
  4. Step 4: Simplify right side
    549,854x = 1,322,394,202,116
  5. Step 5: Solve for x
    x = 1,322,394,202,116/549,854
  6. Step 6: Final answer
    x = 2,404,991.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.