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Finding the Third Proportional to 470,100 and 1,033,512

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Solution

The third proportional to 470,100 and 1,033,512 is: 2,272,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,100 : 1,033,512 = 1,033,512 : x
  2. Step 2: Convert to fraction form
    470,100/1,033,512 = 1,033,512/x
  3. Step 3: Cross multiply
    470,100x = 1,033,512 × 1,033,512
  4. Step 4: Simplify right side
    470,100x = 1,068,147,054,144
  5. Step 5: Solve for x
    x = 1,068,147,054,144/470,100
  6. Step 6: Final answer
    x = 2,272,169.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.