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Finding the Third Proportional to 634,736 and 1,322,080

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Solution

The third proportional to 634,736 and 1,322,080 is: 2,753,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,736 : 1,322,080 = 1,322,080 : x
  2. Step 2: Convert to fraction form
    634,736/1,322,080 = 1,322,080/x
  3. Step 3: Cross multiply
    634,736x = 1,322,080 × 1,322,080
  4. Step 4: Simplify right side
    634,736x = 1,747,895,526,400
  5. Step 5: Solve for x
    x = 1,747,895,526,400/634,736
  6. Step 6: Final answer
    x = 2,753,736.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.