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Finding the Third Proportional to 661,185 and 982,057

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Solution

The third proportional to 661,185 and 982,057 is: 1,458,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,185 : 982,057 = 982,057 : x
  2. Step 2: Convert to fraction form
    661,185/982,057 = 982,057/x
  3. Step 3: Cross multiply
    661,185x = 982,057 × 982,057
  4. Step 4: Simplify right side
    661,185x = 964,435,951,249
  5. Step 5: Solve for x
    x = 964,435,951,249/661,185
  6. Step 6: Final answer
    x = 1,458,647.66

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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.