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Finding the Third Proportional to 751,758 and 1,639,234

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Solution

The third proportional to 751,758 and 1,639,234 is: 3,574,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,758 : 1,639,234 = 1,639,234 : x
  2. Step 2: Convert to fraction form
    751,758/1,639,234 = 1,639,234/x
  3. Step 3: Cross multiply
    751,758x = 1,639,234 × 1,639,234
  4. Step 4: Simplify right side
    751,758x = 2,687,088,106,756
  5. Step 5: Solve for x
    x = 2,687,088,106,756/751,758
  6. Step 6: Final answer
    x = 3,574,405.74

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Why These Related Problems?

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