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Finding the Third Proportional to 1,181,349 and 1,782,837

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Solution

The third proportional to 1,181,349 and 1,782,837 is: 2,690,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,349 : 1,782,837 = 1,782,837 : x
  2. Step 2: Convert to fraction form
    1,181,349/1,782,837 = 1,782,837/x
  3. Step 3: Cross multiply
    1,181,349x = 1,782,837 × 1,782,837
  4. Step 4: Simplify right side
    1,181,349x = 3,178,507,768,569
  5. Step 5: Solve for x
    x = 3,178,507,768,569/1,181,349
  6. Step 6: Final answer
    x = 2,690,574.73

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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.