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Finding the Third Proportional to 681,595 and 1,433,701

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Solution

The third proportional to 681,595 and 1,433,701 is: 3,015,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,595 : 1,433,701 = 1,433,701 : x
  2. Step 2: Convert to fraction form
    681,595/1,433,701 = 1,433,701/x
  3. Step 3: Cross multiply
    681,595x = 1,433,701 × 1,433,701
  4. Step 4: Simplify right side
    681,595x = 2,055,498,557,401
  5. Step 5: Solve for x
    x = 2,055,498,557,401/681,595
  6. Step 6: Final answer
    x = 3,015,718.36

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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.