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Finding the Third Proportional to 482,190 and 1,050,075

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Solution

The third proportional to 482,190 and 1,050,075 is: 2,286,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,190 : 1,050,075 = 1,050,075 : x
  2. Step 2: Convert to fraction form
    482,190/1,050,075 = 1,050,075/x
  3. Step 3: Cross multiply
    482,190x = 1,050,075 × 1,050,075
  4. Step 4: Simplify right side
    482,190x = 1,102,657,505,625
  5. Step 5: Solve for x
    x = 1,102,657,505,625/482,190
  6. Step 6: Final answer
    x = 2,286,769.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.