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Finding the Third Proportional to 622,458 and 988,119

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Solution

The third proportional to 622,458 and 988,119 is: 1,568,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,458 : 988,119 = 988,119 : x
  2. Step 2: Convert to fraction form
    622,458/988,119 = 988,119/x
  3. Step 3: Cross multiply
    622,458x = 988,119 × 988,119
  4. Step 4: Simplify right side
    622,458x = 976,379,158,161
  5. Step 5: Solve for x
    x = 976,379,158,161/622,458
  6. Step 6: Final answer
    x = 1,568,586.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.