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Finding the Third Proportional to 903,198 and 1,329,845

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Solution

The third proportional to 903,198 and 1,329,845 is: 1,958,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,198 : 1,329,845 = 1,329,845 : x
  2. Step 2: Convert to fraction form
    903,198/1,329,845 = 1,329,845/x
  3. Step 3: Cross multiply
    903,198x = 1,329,845 × 1,329,845
  4. Step 4: Simplify right side
    903,198x = 1,768,487,724,025
  5. Step 5: Solve for x
    x = 1,768,487,724,025/903,198
  6. Step 6: Final answer
    x = 1,958,028.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.