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Finding the Third Proportional to 505,068 and 1,122,246

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Solution

The third proportional to 505,068 and 1,122,246 is: 2,493,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,068 : 1,122,246 = 1,122,246 : x
  2. Step 2: Convert to fraction form
    505,068/1,122,246 = 1,122,246/x
  3. Step 3: Cross multiply
    505,068x = 1,122,246 × 1,122,246
  4. Step 4: Simplify right side
    505,068x = 1,259,436,084,516
  5. Step 5: Solve for x
    x = 1,259,436,084,516/505,068
  6. Step 6: Final answer
    x = 2,493,597.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.