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Finding the Third Proportional to 505,344 and 1,063,104

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Solution

The third proportional to 505,344 and 1,063,104 is: 2,236,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,344 : 1,063,104 = 1,063,104 : x
  2. Step 2: Convert to fraction form
    505,344/1,063,104 = 1,063,104/x
  3. Step 3: Cross multiply
    505,344x = 1,063,104 × 1,063,104
  4. Step 4: Simplify right side
    505,344x = 1,130,190,114,816
  5. Step 5: Solve for x
    x = 1,130,190,114,816/505,344
  6. Step 6: Final answer
    x = 2,236,476.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.