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Finding the Third Proportional to 1,959,825 and 4,099,240.50

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Solution

The third proportional to 1,959,825 and 4,099,240.50 is: 8,574,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,825 : 4,099,240.50 = 4,099,240.50 : x
  2. Step 2: Convert to fraction form
    1,959,825/4,099,240.50 = 4,099,240.50/x
  3. Step 3: Cross multiply
    1,959,825x = 4,099,240.50 × 4,099,240.50
  4. Step 4: Simplify right side
    1,959,825x = 16,803,772,676,840.25
  5. Step 5: Solve for x
    x = 16,803,772,676,840.25/1,959,825
  6. Step 6: Final answer
    x = 8,574,118.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.