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Finding the Third Proportional to 505,324 and 1,094,741

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Solution

The third proportional to 505,324 and 1,094,741 is: 2,371,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,324 : 1,094,741 = 1,094,741 : x
  2. Step 2: Convert to fraction form
    505,324/1,094,741 = 1,094,741/x
  3. Step 3: Cross multiply
    505,324x = 1,094,741 × 1,094,741
  4. Step 4: Simplify right side
    505,324x = 1,198,457,857,081
  5. Step 5: Solve for x
    x = 1,198,457,857,081/505,324
  6. Step 6: Final answer
    x = 2,371,662.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.