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Finding the Third Proportional to 965,976 and 2,097,918

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Solution

The third proportional to 965,976 and 2,097,918 is: 4,556,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,976 : 2,097,918 = 2,097,918 : x
  2. Step 2: Convert to fraction form
    965,976/2,097,918 = 2,097,918/x
  3. Step 3: Cross multiply
    965,976x = 2,097,918 × 2,097,918
  4. Step 4: Simplify right side
    965,976x = 4,401,259,934,724
  5. Step 5: Solve for x
    x = 4,401,259,934,724/965,976
  6. Step 6: Final answer
    x = 4,556,282.90

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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.