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Finding the Third Proportional to 505,651 and 1,086,342

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Solution

The third proportional to 505,651 and 1,086,342 is: 2,333,900.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,651 : 1,086,342 = 1,086,342 : x
  2. Step 2: Convert to fraction form
    505,651/1,086,342 = 1,086,342/x
  3. Step 3: Cross multiply
    505,651x = 1,086,342 × 1,086,342
  4. Step 4: Simplify right side
    505,651x = 1,180,138,940,964
  5. Step 5: Solve for x
    x = 1,180,138,940,964/505,651
  6. Step 6: Final answer
    x = 2,333,900.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.