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Finding the Third Proportional to 733,516.50 and 1,122,069.75

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Solution

The third proportional to 733,516.50 and 1,122,069.75 is: 1,716,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,516.50 : 1,122,069.75 = 1,122,069.75 : x
  2. Step 2: Convert to fraction form
    733,516.50/1,122,069.75 = 1,122,069.75/x
  3. Step 3: Cross multiply
    733,516.50x = 1,122,069.75 × 1,122,069.75
  4. Step 4: Simplify right side
    733,516.50x = 1,259,040,523,865.06
  5. Step 5: Solve for x
    x = 1,259,040,523,865.06/733,516.50
  6. Step 6: Final answer
    x = 1,716,444.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.