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Finding the Third Proportional to 959,698 and 2,100,188

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Solution

The third proportional to 959,698 and 2,100,188 is: 4,596,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,698 : 2,100,188 = 2,100,188 : x
  2. Step 2: Convert to fraction form
    959,698/2,100,188 = 2,100,188/x
  3. Step 3: Cross multiply
    959,698x = 2,100,188 × 2,100,188
  4. Step 4: Simplify right side
    959,698x = 4,410,789,635,344
  5. Step 5: Solve for x
    x = 4,410,789,635,344/959,698
  6. Step 6: Final answer
    x = 4,596,018.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.