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Finding the Third Proportional to 711,993.80 and 1,450,425.23

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Solution

The third proportional to 711,993.80 and 1,450,425.23 is: 2,954,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,993.80 : 1,450,425.23 = 1,450,425.23 : x
  2. Step 2: Convert to fraction form
    711,993.80/1,450,425.23 = 1,450,425.23/x
  3. Step 3: Cross multiply
    711,993.80x = 1,450,425.23 × 1,450,425.23
  4. Step 4: Simplify right side
    711,993.80x = 2,103,733,360,511.77
  5. Step 5: Solve for x
    x = 2,103,733,360,511.77/711,993.80
  6. Step 6: Final answer
    x = 2,954,707.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.