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Finding the Third Proportional to 833,998.78 and 1,820,950.88

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Solution

The third proportional to 833,998.78 and 1,820,950.88 is: 3,975,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,998.78 : 1,820,950.88 = 1,820,950.88 : x
  2. Step 2: Convert to fraction form
    833,998.78/1,820,950.88 = 1,820,950.88/x
  3. Step 3: Cross multiply
    833,998.78x = 1,820,950.88 × 1,820,950.88
  4. Step 4: Simplify right side
    833,998.78x = 3,315,862,089,163.27
  5. Step 5: Solve for x
    x = 3,315,862,089,163.27/833,998.78
  6. Step 6: Final answer
    x = 3,975,859.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.