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Finding the Third Proportional to 763,194 and 1,659,036

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Solution

The third proportional to 763,194 and 1,659,036 is: 3,606,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,194 : 1,659,036 = 1,659,036 : x
  2. Step 2: Convert to fraction form
    763,194/1,659,036 = 1,659,036/x
  3. Step 3: Cross multiply
    763,194x = 1,659,036 × 1,659,036
  4. Step 4: Simplify right side
    763,194x = 2,752,400,449,296
  5. Step 5: Solve for x
    x = 2,752,400,449,296/763,194
  6. Step 6: Final answer
    x = 3,606,423.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.