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Finding the Third Proportional to 513,544.50 and 1,145,106

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Solution

The third proportional to 513,544.50 and 1,145,106 is: 2,553,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,544.50 : 1,145,106 = 1,145,106 : x
  2. Step 2: Convert to fraction form
    513,544.50/1,145,106 = 1,145,106/x
  3. Step 3: Cross multiply
    513,544.50x = 1,145,106 × 1,145,106
  4. Step 4: Simplify right side
    513,544.50x = 1,311,267,751,236
  5. Step 5: Solve for x
    x = 1,311,267,751,236/513,544.50
  6. Step 6: Final answer
    x = 2,553,367.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.