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Finding the Third Proportional to 1,890,524.81 and 2,837,161.69

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Solution

The third proportional to 1,890,524.81 and 2,837,161.69 is: 4,257,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890,524.81 : 2,837,161.69 = 2,837,161.69 : x
  2. Step 2: Convert to fraction form
    1,890,524.81/2,837,161.69 = 2,837,161.69/x
  3. Step 3: Cross multiply
    1,890,524.81x = 2,837,161.69 × 2,837,161.69
  4. Step 4: Simplify right side
    1,890,524.81x = 8,049,486,441,017.85
  5. Step 5: Solve for x
    x = 8,049,486,441,017.85/1,890,524.81
  6. Step 6: Final answer
    x = 4,257,805.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.