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Finding the Third Proportional to 692,530 and 1,082,536

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Solution

The third proportional to 692,530 and 1,082,536 is: 1,692,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,530 : 1,082,536 = 1,082,536 : x
  2. Step 2: Convert to fraction form
    692,530/1,082,536 = 1,082,536/x
  3. Step 3: Cross multiply
    692,530x = 1,082,536 × 1,082,536
  4. Step 4: Simplify right side
    692,530x = 1,171,884,191,296
  5. Step 5: Solve for x
    x = 1,171,884,191,296/692,530
  6. Step 6: Final answer
    x = 1,692,178.23

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.