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Finding the Third Proportional to 431,075 and 1,006,839

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Solution

The third proportional to 431,075 and 1,006,839 is: 2,351,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,075 : 1,006,839 = 1,006,839 : x
  2. Step 2: Convert to fraction form
    431,075/1,006,839 = 1,006,839/x
  3. Step 3: Cross multiply
    431,075x = 1,006,839 × 1,006,839
  4. Step 4: Simplify right side
    431,075x = 1,013,724,771,921
  5. Step 5: Solve for x
    x = 1,013,724,771,921/431,075
  6. Step 6: Final answer
    x = 2,351,620.42

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.