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Finding the Third Proportional to 1,984,377.94 and 4,207,200.75

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Solution

The third proportional to 1,984,377.94 and 4,207,200.75 is: 8,919,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,377.94 : 4,207,200.75 = 4,207,200.75 : x
  2. Step 2: Convert to fraction form
    1,984,377.94/4,207,200.75 = 4,207,200.75/x
  3. Step 3: Cross multiply
    1,984,377.94x = 4,207,200.75 × 4,207,200.75
  4. Step 4: Simplify right side
    1,984,377.94x = 17,700,538,150,800.56
  5. Step 5: Solve for x
    x = 17,700,538,150,800.56/1,984,377.94
  6. Step 6: Final answer
    x = 8,919,943.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.