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Finding the Third Proportional to 481,764 and 1,049,328

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Solution

The third proportional to 481,764 and 1,049,328 is: 2,285,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,764 : 1,049,328 = 1,049,328 : x
  2. Step 2: Convert to fraction form
    481,764/1,049,328 = 1,049,328/x
  3. Step 3: Cross multiply
    481,764x = 1,049,328 × 1,049,328
  4. Step 4: Simplify right side
    481,764x = 1,101,089,251,584
  5. Step 5: Solve for x
    x = 1,101,089,251,584/481,764
  6. Step 6: Final answer
    x = 2,285,536.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.