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Finding the Third Proportional to 505,036 and 1,169,290

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Solution

The third proportional to 505,036 and 1,169,290 is: 2,707,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,036 : 1,169,290 = 1,169,290 : x
  2. Step 2: Convert to fraction form
    505,036/1,169,290 = 1,169,290/x
  3. Step 3: Cross multiply
    505,036x = 1,169,290 × 1,169,290
  4. Step 4: Simplify right side
    505,036x = 1,367,239,104,100
  5. Step 5: Solve for x
    x = 1,367,239,104,100/505,036
  6. Step 6: Final answer
    x = 2,707,211.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.