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Finding the Third Proportional to 965,972 and 2,097,912

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Solution

The third proportional to 965,972 and 2,097,912 is: 4,556,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,972 : 2,097,912 = 2,097,912 : x
  2. Step 2: Convert to fraction form
    965,972/2,097,912 = 2,097,912/x
  3. Step 3: Cross multiply
    965,972x = 2,097,912 × 2,097,912
  4. Step 4: Simplify right side
    965,972x = 4,401,234,759,744
  5. Step 5: Solve for x
    x = 4,401,234,759,744/965,972
  6. Step 6: Final answer
    x = 4,556,275.71

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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.