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Finding the Third Proportional to 1,782,423 and 3,848,933.25

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Solution

The third proportional to 1,782,423 and 3,848,933.25 is: 8,311,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,423 : 3,848,933.25 = 3,848,933.25 : x
  2. Step 2: Convert to fraction form
    1,782,423/3,848,933.25 = 3,848,933.25/x
  3. Step 3: Cross multiply
    1,782,423x = 3,848,933.25 × 3,848,933.25
  4. Step 4: Simplify right side
    1,782,423x = 14,814,287,162,955.56
  5. Step 5: Solve for x
    x = 14,814,287,162,955.56/1,782,423
  6. Step 6: Final answer
    x = 8,311,319.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.