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Finding the Third Proportional to 711,296 and 1,101,024

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Solution

The third proportional to 711,296 and 1,101,024 is: 1,704,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,296 : 1,101,024 = 1,101,024 : x
  2. Step 2: Convert to fraction form
    711,296/1,101,024 = 1,101,024/x
  3. Step 3: Cross multiply
    711,296x = 1,101,024 × 1,101,024
  4. Step 4: Simplify right side
    711,296x = 1,212,253,848,576
  5. Step 5: Solve for x
    x = 1,212,253,848,576/711,296
  6. Step 6: Final answer
    x = 1,704,288.86

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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.