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Finding the Third Proportional to 810,232.50 and 1,766,256

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Solution

The third proportional to 810,232.50 and 1,766,256 is: 3,850,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,232.50 : 1,766,256 = 1,766,256 : x
  2. Step 2: Convert to fraction form
    810,232.50/1,766,256 = 1,766,256/x
  3. Step 3: Cross multiply
    810,232.50x = 1,766,256 × 1,766,256
  4. Step 4: Simplify right side
    810,232.50x = 3,119,660,257,536
  5. Step 5: Solve for x
    x = 3,119,660,257,536/810,232.50
  6. Step 6: Final answer
    x = 3,850,327.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.