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Finding the Third Proportional to 505,607 and 1,081,198

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Solution

The third proportional to 505,607 and 1,081,198 is: 2,312,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,607 : 1,081,198 = 1,081,198 : x
  2. Step 2: Convert to fraction form
    505,607/1,081,198 = 1,081,198/x
  3. Step 3: Cross multiply
    505,607x = 1,081,198 × 1,081,198
  4. Step 4: Simplify right side
    505,607x = 1,168,989,115,204
  5. Step 5: Solve for x
    x = 1,168,989,115,204/505,607
  6. Step 6: Final answer
    x = 2,312,050.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.