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Finding the Third Proportional to 505,605 and 1,081,194

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Solution

The third proportional to 505,605 and 1,081,194 is: 2,312,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,605 : 1,081,194 = 1,081,194 : x
  2. Step 2: Convert to fraction form
    505,605/1,081,194 = 1,081,194/x
  3. Step 3: Cross multiply
    505,605x = 1,081,194 × 1,081,194
  4. Step 4: Simplify right side
    505,605x = 1,168,980,465,636
  5. Step 5: Solve for x
    x = 1,168,980,465,636/505,605
  6. Step 6: Final answer
    x = 2,312,042.93

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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.