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Finding the Third Proportional to 663,415.50 and 1,451,041.41

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Solution

The third proportional to 663,415.50 and 1,451,041.41 is: 3,173,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,415.50 : 1,451,041.41 = 1,451,041.41 : x
  2. Step 2: Convert to fraction form
    663,415.50/1,451,041.41 = 1,451,041.41/x
  3. Step 3: Cross multiply
    663,415.50x = 1,451,041.41 × 1,451,041.41
  4. Step 4: Simplify right side
    663,415.50x = 2,105,521,162,651.98
  5. Step 5: Solve for x
    x = 2,105,521,162,651.98/663,415.50
  6. Step 6: Final answer
    x = 3,173,759.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.