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Finding the Third Proportional to 1,775,297.25 and 3,882,729.94

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Solution

The third proportional to 1,775,297.25 and 3,882,729.94 is: 8,491,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,297.25 : 3,882,729.94 = 3,882,729.94 : x
  2. Step 2: Convert to fraction form
    1,775,297.25/3,882,729.94 = 3,882,729.94/x
  3. Step 3: Cross multiply
    1,775,297.25x = 3,882,729.94 × 3,882,729.94
  4. Step 4: Simplify right side
    1,775,297.25x = 15,075,591,767,558.75
  5. Step 5: Solve for x
    x = 15,075,591,767,558.75/1,775,297.25
  6. Step 6: Final answer
    x = 8,491,869.05

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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.