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Finding the Third Proportional to 739,986 and 1,584,954

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Solution

The third proportional to 739,986 and 1,584,954 is: 3,394,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,986 : 1,584,954 = 1,584,954 : x
  2. Step 2: Convert to fraction form
    739,986/1,584,954 = 1,584,954/x
  3. Step 3: Cross multiply
    739,986x = 1,584,954 × 1,584,954
  4. Step 4: Simplify right side
    739,986x = 2,512,079,182,116
  5. Step 5: Solve for x
    x = 2,512,079,182,116/739,986
  6. Step 6: Final answer
    x = 3,394,765.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.