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Finding the Third Proportional to 739,984.50 and 1,584,945

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Solution

The third proportional to 739,984.50 and 1,584,945 is: 3,394,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,984.50 : 1,584,945 = 1,584,945 : x
  2. Step 2: Convert to fraction form
    739,984.50/1,584,945 = 1,584,945/x
  3. Step 3: Cross multiply
    739,984.50x = 1,584,945 × 1,584,945
  4. Step 4: Simplify right side
    739,984.50x = 2,512,050,653,025
  5. Step 5: Solve for x
    x = 2,512,050,653,025/739,984.50
  6. Step 6: Final answer
    x = 3,394,734.15

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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.