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Finding the Third Proportional to 504,225 and 1,055,196

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Solution

The third proportional to 504,225 and 1,055,196 is: 2,208,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,225 : 1,055,196 = 1,055,196 : x
  2. Step 2: Convert to fraction form
    504,225/1,055,196 = 1,055,196/x
  3. Step 3: Cross multiply
    504,225x = 1,055,196 × 1,055,196
  4. Step 4: Simplify right side
    504,225x = 1,113,438,598,416
  5. Step 5: Solve for x
    x = 1,113,438,598,416/504,225
  6. Step 6: Final answer
    x = 2,208,217.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.