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Finding the Third Proportional to 1,591,342 and 3,256,221

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Solution

The third proportional to 1,591,342 and 3,256,221 is: 6,662,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591,342 : 3,256,221 = 3,256,221 : x
  2. Step 2: Convert to fraction form
    1,591,342/3,256,221 = 3,256,221/x
  3. Step 3: Cross multiply
    1,591,342x = 3,256,221 × 3,256,221
  4. Step 4: Simplify right side
    1,591,342x = 10,602,975,200,841
  5. Step 5: Solve for x
    x = 10,602,975,200,841/1,591,342
  6. Step 6: Final answer
    x = 6,662,914.19

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.