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Finding the Third Proportional to 508,738 and 1,104,954

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Solution

The third proportional to 508,738 and 1,104,954 is: 2,399,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,738 : 1,104,954 = 1,104,954 : x
  2. Step 2: Convert to fraction form
    508,738/1,104,954 = 1,104,954/x
  3. Step 3: Cross multiply
    508,738x = 1,104,954 × 1,104,954
  4. Step 4: Simplify right side
    508,738x = 1,220,923,342,116
  5. Step 5: Solve for x
    x = 1,220,923,342,116/508,738
  6. Step 6: Final answer
    x = 2,399,905.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.