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Finding the Third Proportional to 965,968 and 2,097,904

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Solution

The third proportional to 965,968 and 2,097,904 is: 4,556,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,968 : 2,097,904 = 2,097,904 : x
  2. Step 2: Convert to fraction form
    965,968/2,097,904 = 2,097,904/x
  3. Step 3: Cross multiply
    965,968x = 2,097,904 × 2,097,904
  4. Step 4: Simplify right side
    965,968x = 4,401,201,193,216
  5. Step 5: Solve for x
    x = 4,401,201,193,216/965,968
  6. Step 6: Final answer
    x = 4,556,259.83

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