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Finding the Third Proportional to 505,340 and 1,105,633

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Solution

The third proportional to 505,340 and 1,105,633 is: 2,419,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,340 : 1,105,633 = 1,105,633 : x
  2. Step 2: Convert to fraction form
    505,340/1,105,633 = 1,105,633/x
  3. Step 3: Cross multiply
    505,340x = 1,105,633 × 1,105,633
  4. Step 4: Simplify right side
    505,340x = 1,222,424,330,689
  5. Step 5: Solve for x
    x = 1,222,424,330,689/505,340
  6. Step 6: Final answer
    x = 2,419,013.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.