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Finding the Third Proportional to 785,860 and 1,718,838

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Solution

The third proportional to 785,860 and 1,718,838 is: 3,759,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,860 : 1,718,838 = 1,718,838 : x
  2. Step 2: Convert to fraction form
    785,860/1,718,838 = 1,718,838/x
  3. Step 3: Cross multiply
    785,860x = 1,718,838 × 1,718,838
  4. Step 4: Simplify right side
    785,860x = 2,954,404,070,244
  5. Step 5: Solve for x
    x = 2,954,404,070,244/785,860
  6. Step 6: Final answer
    x = 3,759,453.43

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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.