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Finding the Third Proportional to 786,292 and 1,719,794

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Solution

The third proportional to 786,292 and 1,719,794 is: 3,761,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,292 : 1,719,794 = 1,719,794 : x
  2. Step 2: Convert to fraction form
    786,292/1,719,794 = 1,719,794/x
  3. Step 3: Cross multiply
    786,292x = 1,719,794 × 1,719,794
  4. Step 4: Simplify right side
    786,292x = 2,957,691,402,436
  5. Step 5: Solve for x
    x = 2,957,691,402,436/786,292
  6. Step 6: Final answer
    x = 3,761,568.73

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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.