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Finding the Third Proportional to 505,708 and 1,151,717

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Solution

The third proportional to 505,708 and 1,151,717 is: 2,622,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,708 : 1,151,717 = 1,151,717 : x
  2. Step 2: Convert to fraction form
    505,708/1,151,717 = 1,151,717/x
  3. Step 3: Cross multiply
    505,708x = 1,151,717 × 1,151,717
  4. Step 4: Simplify right side
    505,708x = 1,326,452,048,089
  5. Step 5: Solve for x
    x = 1,326,452,048,089/505,708
  6. Step 6: Final answer
    x = 2,622,960.38

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.