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Finding the Third Proportional to 505,089 and 1,027,586

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Solution

The third proportional to 505,089 and 1,027,586 is: 2,090,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,089 : 1,027,586 = 1,027,586 : x
  2. Step 2: Convert to fraction form
    505,089/1,027,586 = 1,027,586/x
  3. Step 3: Cross multiply
    505,089x = 1,027,586 × 1,027,586
  4. Step 4: Simplify right side
    505,089x = 1,055,932,987,396
  5. Step 5: Solve for x
    x = 1,055,932,987,396/505,089
  6. Step 6: Final answer
    x = 2,090,587.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.