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Finding the Third Proportional to 663,412 and 994,075

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Solution

The third proportional to 663,412 and 994,075 is: 1,489,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,412 : 994,075 = 994,075 : x
  2. Step 2: Convert to fraction form
    663,412/994,075 = 994,075/x
  3. Step 3: Cross multiply
    663,412x = 994,075 × 994,075
  4. Step 4: Simplify right side
    663,412x = 988,185,105,625
  5. Step 5: Solve for x
    x = 988,185,105,625/663,412
  6. Step 6: Final answer
    x = 1,489,549.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.