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Finding the Third Proportional to 545,405 and 1,171,769

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Solution

The third proportional to 545,405 and 1,171,769 is: 2,517,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,405 : 1,171,769 = 1,171,769 : x
  2. Step 2: Convert to fraction form
    545,405/1,171,769 = 1,171,769/x
  3. Step 3: Cross multiply
    545,405x = 1,171,769 × 1,171,769
  4. Step 4: Simplify right side
    545,405x = 1,373,042,589,361
  5. Step 5: Solve for x
    x = 1,373,042,589,361/545,405
  6. Step 6: Final answer
    x = 2,517,473.42

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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.