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Finding the Third Proportional to 505,710 and 1,151,723

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Solution

The third proportional to 505,710 and 1,151,723 is: 2,622,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,710 : 1,151,723 = 1,151,723 : x
  2. Step 2: Convert to fraction form
    505,710/1,151,723 = 1,151,723/x
  3. Step 3: Cross multiply
    505,710x = 1,151,723 × 1,151,723
  4. Step 4: Simplify right side
    505,710x = 1,326,465,868,729
  5. Step 5: Solve for x
    x = 1,326,465,868,729/505,710
  6. Step 6: Final answer
    x = 2,622,977.34

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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.