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Finding the Third Proportional to 1,075,974.75 and 1,504,458

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Solution

The third proportional to 1,075,974.75 and 1,504,458 is: 2,103,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,974.75 : 1,504,458 = 1,504,458 : x
  2. Step 2: Convert to fraction form
    1,075,974.75/1,504,458 = 1,504,458/x
  3. Step 3: Cross multiply
    1,075,974.75x = 1,504,458 × 1,504,458
  4. Step 4: Simplify right side
    1,075,974.75x = 2,263,393,873,764
  5. Step 5: Solve for x
    x = 2,263,393,873,764/1,075,974.75
  6. Step 6: Final answer
    x = 2,103,575.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.