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Finding the Third Proportional to 504,950 and 1,104,912

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Solution

The third proportional to 504,950 and 1,104,912 is: 2,417,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,950 : 1,104,912 = 1,104,912 : x
  2. Step 2: Convert to fraction form
    504,950/1,104,912 = 1,104,912/x
  3. Step 3: Cross multiply
    504,950x = 1,104,912 × 1,104,912
  4. Step 4: Simplify right side
    504,950x = 1,220,830,527,744
  5. Step 5: Solve for x
    x = 1,220,830,527,744/504,950
  6. Step 6: Final answer
    x = 2,417,725.57

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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.