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Finding the Third Proportional to 505,140 and 1,102,868

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Solution

The third proportional to 505,140 and 1,102,868 is: 2,407,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,140 : 1,102,868 = 1,102,868 : x
  2. Step 2: Convert to fraction form
    505,140/1,102,868 = 1,102,868/x
  3. Step 3: Cross multiply
    505,140x = 1,102,868 × 1,102,868
  4. Step 4: Simplify right side
    505,140x = 1,216,317,825,424
  5. Step 5: Solve for x
    x = 1,216,317,825,424/505,140
  6. Step 6: Final answer
    x = 2,407,882.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.