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Finding the Third Proportional to 739,978.50 and 1,584,933

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Solution

The third proportional to 739,978.50 and 1,584,933 is: 3,394,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,978.50 : 1,584,933 = 1,584,933 : x
  2. Step 2: Convert to fraction form
    739,978.50/1,584,933 = 1,584,933/x
  3. Step 3: Cross multiply
    739,978.50x = 1,584,933 × 1,584,933
  4. Step 4: Simplify right side
    739,978.50x = 2,512,012,614,489
  5. Step 5: Solve for x
    x = 2,512,012,614,489/739,978.50
  6. Step 6: Final answer
    x = 3,394,710.27

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