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Finding the Third Proportional to 505,620 and 1,081,224

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Solution

The third proportional to 505,620 and 1,081,224 is: 2,312,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,620 : 1,081,224 = 1,081,224 : x
  2. Step 2: Convert to fraction form
    505,620/1,081,224 = 1,081,224/x
  3. Step 3: Cross multiply
    505,620x = 1,081,224 × 1,081,224
  4. Step 4: Simplify right side
    505,620x = 1,169,045,338,176
  5. Step 5: Solve for x
    x = 1,169,045,338,176/505,620
  6. Step 6: Final answer
    x = 2,312,102.64

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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.