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Finding the Third Proportional to 470,223 and 1,045,422

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Solution

The third proportional to 470,223 and 1,045,422 is: 2,324,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223 : 1,045,422 = 1,045,422 : x
  2. Step 2: Convert to fraction form
    470,223/1,045,422 = 1,045,422/x
  3. Step 3: Cross multiply
    470,223x = 1,045,422 × 1,045,422
  4. Step 4: Simplify right side
    470,223x = 1,092,907,158,084
  5. Step 5: Solve for x
    x = 1,092,907,158,084/470,223
  6. Step 6: Final answer
    x = 2,324,231.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.