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Finding the Third Proportional to 661,192 and 982,068

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Solution

The third proportional to 661,192 and 982,068 is: 1,458,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,192 : 982,068 = 982,068 : x
  2. Step 2: Convert to fraction form
    661,192/982,068 = 982,068/x
  3. Step 3: Cross multiply
    661,192x = 982,068 × 982,068
  4. Step 4: Simplify right side
    661,192x = 964,457,556,624
  5. Step 5: Solve for x
    x = 964,457,556,624/661,192
  6. Step 6: Final answer
    x = 1,458,664.89

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