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Finding the Third Proportional to 467,305 and 1,021,100

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Solution

The third proportional to 467,305 and 1,021,100 is: 2,231,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,305 : 1,021,100 = 1,021,100 : x
  2. Step 2: Convert to fraction form
    467,305/1,021,100 = 1,021,100/x
  3. Step 3: Cross multiply
    467,305x = 1,021,100 × 1,021,100
  4. Step 4: Simplify right side
    467,305x = 1,042,645,210,000
  5. Step 5: Solve for x
    x = 1,042,645,210,000/467,305
  6. Step 6: Final answer
    x = 2,231,187.79

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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.