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Finding the Third Proportional to 629,081.44 and 1,346,326.31

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Solution

The third proportional to 629,081.44 and 1,346,326.31 is: 2,881,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,081.44 : 1,346,326.31 = 1,346,326.31 : x
  2. Step 2: Convert to fraction form
    629,081.44/1,346,326.31 = 1,346,326.31/x
  3. Step 3: Cross multiply
    629,081.44x = 1,346,326.31 × 1,346,326.31
  4. Step 4: Simplify right side
    629,081.44x = 1,812,594,539,729.85
  5. Step 5: Solve for x
    x = 1,812,594,539,729.85/629,081.44
  6. Step 6: Final answer
    x = 2,881,335.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.