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Finding the Third Proportional to 1,936,284.75 and 4,199,161.50

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Solution

The third proportional to 1,936,284.75 and 4,199,161.50 is: 9,106,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936,284.75 : 4,199,161.50 = 4,199,161.50 : x
  2. Step 2: Convert to fraction form
    1,936,284.75/4,199,161.50 = 4,199,161.50/x
  3. Step 3: Cross multiply
    1,936,284.75x = 4,199,161.50 × 4,199,161.50
  4. Step 4: Simplify right side
    1,936,284.75x = 17,632,957,303,082.25
  5. Step 5: Solve for x
    x = 17,632,957,303,082.25/1,936,284.75
  6. Step 6: Final answer
    x = 9,106,593.08

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