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Finding the Third Proportional to 449,625.94 and 965,955.38

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Solution

The third proportional to 449,625.94 and 965,955.38 is: 2,075,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,625.94 : 965,955.38 = 965,955.38 : x
  2. Step 2: Convert to fraction form
    449,625.94/965,955.38 = 965,955.38/x
  3. Step 3: Cross multiply
    449,625.94x = 965,955.38 × 965,955.38
  4. Step 4: Simplify right side
    449,625.94x = 933,069,786,491.39
  5. Step 5: Solve for x
    x = 933,069,786,491.39/449,625.94
  6. Step 6: Final answer
    x = 2,075,213.44

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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.