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Finding the Third Proportional to 661,194 and 982,071

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Solution

The third proportional to 661,194 and 982,071 is: 1,458,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,194 : 982,071 = 982,071 : x
  2. Step 2: Convert to fraction form
    661,194/982,071 = 982,071/x
  3. Step 3: Cross multiply
    661,194x = 982,071 × 982,071
  4. Step 4: Simplify right side
    661,194x = 964,463,449,041
  5. Step 5: Solve for x
    x = 964,463,449,041/661,194
  6. Step 6: Final answer
    x = 1,458,669.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.