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Finding the Third Proportional to 786,325.50 and 1,719,840.38

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Solution

The third proportional to 786,325.50 and 1,719,840.38 is: 3,761,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,325.50 : 1,719,840.38 = 1,719,840.38 : x
  2. Step 2: Convert to fraction form
    786,325.50/1,719,840.38 = 1,719,840.38/x
  3. Step 3: Cross multiply
    786,325.50x = 1,719,840.38 × 1,719,840.38
  4. Step 4: Simplify right side
    786,325.50x = 2,957,850,915,480.14
  5. Step 5: Solve for x
    x = 2,957,850,915,480.14/786,325.50
  6. Step 6: Final answer
    x = 3,761,611.34

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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.