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Finding the Third Proportional to 601,409.39 and 1,245,448.41

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Solution

The third proportional to 601,409.39 and 1,245,448.41 is: 2,579,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,409.39 : 1,245,448.41 = 1,245,448.41 : x
  2. Step 2: Convert to fraction form
    601,409.39/1,245,448.41 = 1,245,448.41/x
  3. Step 3: Cross multiply
    601,409.39x = 1,245,448.41 × 1,245,448.41
  4. Step 4: Simplify right side
    601,409.39x = 1,551,141,732,630.67
  5. Step 5: Solve for x
    x = 1,551,141,732,630.67/601,409.39
  6. Step 6: Final answer
    x = 2,579,177.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.