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Finding the Third Proportional to 842,148 and 1,218,996

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Solution

The third proportional to 842,148 and 1,218,996 is: 1,764,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,148 : 1,218,996 = 1,218,996 : x
  2. Step 2: Convert to fraction form
    842,148/1,218,996 = 1,218,996/x
  3. Step 3: Cross multiply
    842,148x = 1,218,996 × 1,218,996
  4. Step 4: Simplify right side
    842,148x = 1,485,951,248,016
  5. Step 5: Solve for x
    x = 1,485,951,248,016/842,148
  6. Step 6: Final answer
    x = 1,764,477.56

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.