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Finding the Third Proportional to 691,296 and 1,072,908

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Solution

The third proportional to 691,296 and 1,072,908 is: 1,665,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,296 : 1,072,908 = 1,072,908 : x
  2. Step 2: Convert to fraction form
    691,296/1,072,908 = 1,072,908/x
  3. Step 3: Cross multiply
    691,296x = 1,072,908 × 1,072,908
  4. Step 4: Simplify right side
    691,296x = 1,151,131,576,464
  5. Step 5: Solve for x
    x = 1,151,131,576,464/691,296
  6. Step 6: Final answer
    x = 1,665,178.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.