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Finding the Third Proportional to 763,674.75 and 1,508,081.63

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Solution

The third proportional to 763,674.75 and 1,508,081.63 is: 2,978,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,674.75 : 1,508,081.63 = 1,508,081.63 : x
  2. Step 2: Convert to fraction form
    763,674.75/1,508,081.63 = 1,508,081.63/x
  3. Step 3: Cross multiply
    763,674.75x = 1,508,081.63 × 1,508,081.63
  4. Step 4: Simplify right side
    763,674.75x = 2,274,310,187,662.64
  5. Step 5: Solve for x
    x = 2,274,310,187,662.64/763,674.75
  6. Step 6: Final answer
    x = 2,978,113.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.