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Finding the Third Proportional to 727,367.34 and 1,580,639.06

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Solution

The third proportional to 727,367.34 and 1,580,639.06 is: 3,434,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,367.34 : 1,580,639.06 = 1,580,639.06 : x
  2. Step 2: Convert to fraction form
    727,367.34/1,580,639.06 = 1,580,639.06/x
  3. Step 3: Cross multiply
    727,367.34x = 1,580,639.06 × 1,580,639.06
  4. Step 4: Simplify right side
    727,367.34x = 2,498,419,845,900.88
  5. Step 5: Solve for x
    x = 2,498,419,845,900.88/727,367.34
  6. Step 6: Final answer
    x = 3,434,880.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.