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Finding the Third Proportional to 959,690 and 2,100,172

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Solution

The third proportional to 959,690 and 2,100,172 is: 4,595,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,690 : 2,100,172 = 2,100,172 : x
  2. Step 2: Convert to fraction form
    959,690/2,100,172 = 2,100,172/x
  3. Step 3: Cross multiply
    959,690x = 2,100,172 × 2,100,172
  4. Step 4: Simplify right side
    959,690x = 4,410,722,429,584
  5. Step 5: Solve for x
    x = 4,410,722,429,584/959,690
  6. Step 6: Final answer
    x = 4,595,986.65

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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.