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Finding the Third Proportional to 751,075 and 1,670,073

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Solution

The third proportional to 751,075 and 1,670,073 is: 3,713,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,075 : 1,670,073 = 1,670,073 : x
  2. Step 2: Convert to fraction form
    751,075/1,670,073 = 1,670,073/x
  3. Step 3: Cross multiply
    751,075x = 1,670,073 × 1,670,073
  4. Step 4: Simplify right side
    751,075x = 2,789,143,825,329
  5. Step 5: Solve for x
    x = 2,789,143,825,329/751,075
  6. Step 6: Final answer
    x = 3,713,535.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.