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Finding the Third Proportional to 1,463,800.50 and 2,284,236

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Solution

The third proportional to 1,463,800.50 and 2,284,236 is: 3,564,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,800.50 : 2,284,236 = 2,284,236 : x
  2. Step 2: Convert to fraction form
    1,463,800.50/2,284,236 = 2,284,236/x
  3. Step 3: Cross multiply
    1,463,800.50x = 2,284,236 × 2,284,236
  4. Step 4: Simplify right side
    1,463,800.50x = 5,217,734,103,696
  5. Step 5: Solve for x
    x = 5,217,734,103,696/1,463,800.50
  6. Step 6: Final answer
    x = 3,564,511.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.