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Finding the Third Proportional to 681,601 and 1,433,713

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Solution

The third proportional to 681,601 and 1,433,713 is: 3,015,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,601 : 1,433,713 = 1,433,713 : x
  2. Step 2: Convert to fraction form
    681,601/1,433,713 = 1,433,713/x
  3. Step 3: Cross multiply
    681,601x = 1,433,713 × 1,433,713
  4. Step 4: Simplify right side
    681,601x = 2,055,532,966,369
  5. Step 5: Solve for x
    x = 2,055,532,966,369/681,601
  6. Step 6: Final answer
    x = 3,015,742.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.