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Finding the Third Proportional to 1,627,296 and 3,403,308

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Solution

The third proportional to 1,627,296 and 3,403,308 is: 7,117,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627,296 : 3,403,308 = 3,403,308 : x
  2. Step 2: Convert to fraction form
    1,627,296/3,403,308 = 3,403,308/x
  3. Step 3: Cross multiply
    1,627,296x = 3,403,308 × 3,403,308
  4. Step 4: Simplify right side
    1,627,296x = 11,582,505,342,864
  5. Step 5: Solve for x
    x = 11,582,505,342,864/1,627,296
  6. Step 6: Final answer
    x = 7,117,638.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.