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Finding the Third Proportional to 681,479.58 and 1,486,728.42

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Solution

The third proportional to 681,479.58 and 1,486,728.42 is: 3,243,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,479.58 : 1,486,728.42 = 1,486,728.42 : x
  2. Step 2: Convert to fraction form
    681,479.58/1,486,728.42 = 1,486,728.42/x
  3. Step 3: Cross multiply
    681,479.58x = 1,486,728.42 × 1,486,728.42
  4. Step 4: Simplify right side
    681,479.58x = 2,210,361,400,410.93
  5. Step 5: Solve for x
    x = 2,210,361,400,410.93/681,479.58
  6. Step 6: Final answer
    x = 3,243,474.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.