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Finding the Third Proportional to 599,400 and 1,275,075

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Solution

The third proportional to 599,400 and 1,275,075 is: 2,712,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,400 : 1,275,075 = 1,275,075 : x
  2. Step 2: Convert to fraction form
    599,400/1,275,075 = 1,275,075/x
  3. Step 3: Cross multiply
    599,400x = 1,275,075 × 1,275,075
  4. Step 4: Simplify right side
    599,400x = 1,625,816,255,625
  5. Step 5: Solve for x
    x = 1,625,816,255,625/599,400
  6. Step 6: Final answer
    x = 2,712,406.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.