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Finding the Third Proportional to 967,416 and 2,100,544

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Solution

The third proportional to 967,416 and 2,100,544 is: 4,560,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,416 : 2,100,544 = 2,100,544 : x
  2. Step 2: Convert to fraction form
    967,416/2,100,544 = 2,100,544/x
  3. Step 3: Cross multiply
    967,416x = 2,100,544 × 2,100,544
  4. Step 4: Simplify right side
    967,416x = 4,412,285,095,936
  5. Step 5: Solve for x
    x = 4,412,285,095,936/967,416
  6. Step 6: Final answer
    x = 4,560,897.38

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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.