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Finding the Third Proportional to 1,100,135.25 and 1,750,443.75

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Solution

The third proportional to 1,100,135.25 and 1,750,443.75 is: 2,785,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,135.25 : 1,750,443.75 = 1,750,443.75 : x
  2. Step 2: Convert to fraction form
    1,100,135.25/1,750,443.75 = 1,750,443.75/x
  3. Step 3: Cross multiply
    1,100,135.25x = 1,750,443.75 × 1,750,443.75
  4. Step 4: Simplify right side
    1,100,135.25x = 3,064,053,321,914.06
  5. Step 5: Solve for x
    x = 3,064,053,321,914.06/1,100,135.25
  6. Step 6: Final answer
    x = 2,785,160.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.