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Finding the Third Proportional to 442,571.34 and 949,647.80

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Solution

The third proportional to 442,571.34 and 949,647.80 is: 2,037,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,571.34 : 949,647.80 = 949,647.80 : x
  2. Step 2: Convert to fraction form
    442,571.34/949,647.80 = 949,647.80/x
  3. Step 3: Cross multiply
    442,571.34x = 949,647.80 × 949,647.80
  4. Step 4: Simplify right side
    442,571.34x = 901,830,938,109.54
  5. Step 5: Solve for x
    x = 901,830,938,109.54/442,571.34
  6. Step 6: Final answer
    x = 2,037,707.48

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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.