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Finding the Third Proportional to 612,027 and 918,573.75

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Solution

The third proportional to 612,027 and 918,573.75 is: 1,378,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,027 : 918,573.75 = 918,573.75 : x
  2. Step 2: Convert to fraction form
    612,027/918,573.75 = 918,573.75/x
  3. Step 3: Cross multiply
    612,027x = 918,573.75 × 918,573.75
  4. Step 4: Simplify right side
    612,027x = 843,777,734,189.06
  5. Step 5: Solve for x
    x = 843,777,734,189.06/612,027
  6. Step 6: Final answer
    x = 1,378,660.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.