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Finding the Third Proportional to 997,811.44 and 2,188,762.31

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Solution

The third proportional to 997,811.44 and 2,188,762.31 is: 4,801,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,811.44 : 2,188,762.31 = 2,188,762.31 : x
  2. Step 2: Convert to fraction form
    997,811.44/2,188,762.31 = 2,188,762.31/x
  3. Step 3: Cross multiply
    997,811.44x = 2,188,762.31 × 2,188,762.31
  4. Step 4: Simplify right side
    997,811.44x = 4,790,680,460,620.35
  5. Step 5: Solve for x
    x = 4,790,680,460,620.35/997,811.44
  6. Step 6: Final answer
    x = 4,801,188.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.