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Finding the Third Proportional to 664,194 and 1,441,284

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Solution

The third proportional to 664,194 and 1,441,284 is: 3,127,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,194 : 1,441,284 = 1,441,284 : x
  2. Step 2: Convert to fraction form
    664,194/1,441,284 = 1,441,284/x
  3. Step 3: Cross multiply
    664,194x = 1,441,284 × 1,441,284
  4. Step 4: Simplify right side
    664,194x = 2,077,299,568,656
  5. Step 5: Solve for x
    x = 2,077,299,568,656/664,194
  6. Step 6: Final answer
    x = 3,127,549.43

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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.