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Finding the Third Proportional to 503,907 and 1,096,380

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Solution

The third proportional to 503,907 and 1,096,380 is: 2,385,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,907 : 1,096,380 = 1,096,380 : x
  2. Step 2: Convert to fraction form
    503,907/1,096,380 = 1,096,380/x
  3. Step 3: Cross multiply
    503,907x = 1,096,380 × 1,096,380
  4. Step 4: Simplify right side
    503,907x = 1,202,049,104,400
  5. Step 5: Solve for x
    x = 1,202,049,104,400/503,907
  6. Step 6: Final answer
    x = 2,385,458.24

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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.