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Finding the Third Proportional to 1,907,137.50 and 2,880,147

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Solution

The third proportional to 1,907,137.50 and 2,880,147 is: 4,349,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907,137.50 : 2,880,147 = 2,880,147 : x
  2. Step 2: Convert to fraction form
    1,907,137.50/2,880,147 = 2,880,147/x
  3. Step 3: Cross multiply
    1,907,137.50x = 2,880,147 × 2,880,147
  4. Step 4: Simplify right side
    1,907,137.50x = 8,295,246,741,609
  5. Step 5: Solve for x
    x = 8,295,246,741,609/1,907,137.50
  6. Step 6: Final answer
    x = 4,349,579.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.