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Finding the Third Proportional to 1,756,738.50 and 4,232,055

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Solution

The third proportional to 1,756,738.50 and 4,232,055 is: 10,195,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756,738.50 : 4,232,055 = 4,232,055 : x
  2. Step 2: Convert to fraction form
    1,756,738.50/4,232,055 = 4,232,055/x
  3. Step 3: Cross multiply
    1,756,738.50x = 4,232,055 × 4,232,055
  4. Step 4: Simplify right side
    1,756,738.50x = 17,910,289,523,025
  5. Step 5: Solve for x
    x = 17,910,289,523,025/1,756,738.50
  6. Step 6: Final answer
    x = 10,195,193.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.