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Finding the Third Proportional to 898,296 and 1,351,089

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Solution

The third proportional to 898,296 and 1,351,089 is: 2,032,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,296 : 1,351,089 = 1,351,089 : x
  2. Step 2: Convert to fraction form
    898,296/1,351,089 = 1,351,089/x
  3. Step 3: Cross multiply
    898,296x = 1,351,089 × 1,351,089
  4. Step 4: Simplify right side
    898,296x = 1,825,441,485,921
  5. Step 5: Solve for x
    x = 1,825,441,485,921/898,296
  6. Step 6: Final answer
    x = 2,032,115.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.