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Finding the Third Proportional to 841,584.94 and 1,824,231.38

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Solution

The third proportional to 841,584.94 and 1,824,231.38 is: 3,954,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,584.94 : 1,824,231.38 = 1,824,231.38 : x
  2. Step 2: Convert to fraction form
    841,584.94/1,824,231.38 = 1,824,231.38/x
  3. Step 3: Cross multiply
    841,584.94x = 1,824,231.38 × 1,824,231.38
  4. Step 4: Simplify right side
    841,584.94x = 3,327,820,109,534.39
  5. Step 5: Solve for x
    x = 3,327,820,109,534.39/841,584.94
  6. Step 6: Final answer
    x = 3,954,229.65

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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.