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Finding the Third Proportional to 853,284.75 and 1,833,198.75

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Solution

The third proportional to 853,284.75 and 1,833,198.75 is: 3,938,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,284.75 : 1,833,198.75 = 1,833,198.75 : x
  2. Step 2: Convert to fraction form
    853,284.75/1,833,198.75 = 1,833,198.75/x
  3. Step 3: Cross multiply
    853,284.75x = 1,833,198.75 × 1,833,198.75
  4. Step 4: Simplify right side
    853,284.75x = 3,360,617,657,001.56
  5. Step 5: Solve for x
    x = 3,360,617,657,001.56/853,284.75
  6. Step 6: Final answer
    x = 3,938,448.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.