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Finding the Third Proportional to 682,500 and 1,594,962

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Solution

The third proportional to 682,500 and 1,594,962 is: 3,727,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,500 : 1,594,962 = 1,594,962 : x
  2. Step 2: Convert to fraction form
    682,500/1,594,962 = 1,594,962/x
  3. Step 3: Cross multiply
    682,500x = 1,594,962 × 1,594,962
  4. Step 4: Simplify right side
    682,500x = 2,543,903,781,444
  5. Step 5: Solve for x
    x = 2,543,903,781,444/682,500
  6. Step 6: Final answer
    x = 3,727,331.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.