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Finding the Third Proportional to 786,286.50 and 1,719,782.50

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Solution

The third proportional to 786,286.50 and 1,719,782.50 is: 3,761,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,286.50 : 1,719,782.50 = 1,719,782.50 : x
  2. Step 2: Convert to fraction form
    786,286.50/1,719,782.50 = 1,719,782.50/x
  3. Step 3: Cross multiply
    786,286.50x = 1,719,782.50 × 1,719,782.50
  4. Step 4: Simplify right side
    786,286.50x = 2,957,651,847,306.25
  5. Step 5: Solve for x
    x = 2,957,651,847,306.25/786,286.50
  6. Step 6: Final answer
    x = 3,761,544.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.