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Finding the Third Proportional to 654,852 and 1,405,384

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Solution

The third proportional to 654,852 and 1,405,384 is: 3,016,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,852 : 1,405,384 = 1,405,384 : x
  2. Step 2: Convert to fraction form
    654,852/1,405,384 = 1,405,384/x
  3. Step 3: Cross multiply
    654,852x = 1,405,384 × 1,405,384
  4. Step 4: Simplify right side
    654,852x = 1,975,104,187,456
  5. Step 5: Solve for x
    x = 1,975,104,187,456/654,852
  6. Step 6: Final answer
    x = 3,016,107.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.