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Finding the Third Proportional to 627,132 and 946,530

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Solution

The third proportional to 627,132 and 946,530 is: 1,428,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,132 : 946,530 = 946,530 : x
  2. Step 2: Convert to fraction form
    627,132/946,530 = 946,530/x
  3. Step 3: Cross multiply
    627,132x = 946,530 × 946,530
  4. Step 4: Simplify right side
    627,132x = 895,919,040,900
  5. Step 5: Solve for x
    x = 895,919,040,900/627,132
  6. Step 6: Final answer
    x = 1,428,597.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.