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Finding the Third Proportional to 783,996.75 and 1,104,077.25

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Solution

The third proportional to 783,996.75 and 1,104,077.25 is: 1,554,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,996.75 : 1,104,077.25 = 1,104,077.25 : x
  2. Step 2: Convert to fraction form
    783,996.75/1,104,077.25 = 1,104,077.25/x
  3. Step 3: Cross multiply
    783,996.75x = 1,104,077.25 × 1,104,077.25
  4. Step 4: Simplify right side
    783,996.75x = 1,218,986,573,967.56
  5. Step 5: Solve for x
    x = 1,218,986,573,967.56/783,996.75
  6. Step 6: Final answer
    x = 1,554,836.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.