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Finding the Third Proportional to 505,611 and 1,081,206

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Solution

The third proportional to 505,611 and 1,081,206 is: 2,312,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,611 : 1,081,206 = 1,081,206 : x
  2. Step 2: Convert to fraction form
    505,611/1,081,206 = 1,081,206/x
  3. Step 3: Cross multiply
    505,611x = 1,081,206 × 1,081,206
  4. Step 4: Simplify right side
    505,611x = 1,169,006,414,436
  5. Step 5: Solve for x
    x = 1,169,006,414,436/505,611
  6. Step 6: Final answer
    x = 2,312,066.82

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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.