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Finding the Third Proportional to 682,525.50 and 1,468,083

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Solution

The third proportional to 682,525.50 and 1,468,083 is: 3,157,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,525.50 : 1,468,083 = 1,468,083 : x
  2. Step 2: Convert to fraction form
    682,525.50/1,468,083 = 1,468,083/x
  3. Step 3: Cross multiply
    682,525.50x = 1,468,083 × 1,468,083
  4. Step 4: Simplify right side
    682,525.50x = 2,155,267,694,889
  5. Step 5: Solve for x
    x = 2,155,267,694,889/682,525.50
  6. Step 6: Final answer
    x = 3,157,783.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.