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Finding the Third Proportional to 1,519,258.50 and 2,405,736

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Solution

The third proportional to 1,519,258.50 and 2,405,736 is: 3,809,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519,258.50 : 2,405,736 = 2,405,736 : x
  2. Step 2: Convert to fraction form
    1,519,258.50/2,405,736 = 2,405,736/x
  3. Step 3: Cross multiply
    1,519,258.50x = 2,405,736 × 2,405,736
  4. Step 4: Simplify right side
    1,519,258.50x = 5,787,565,701,696
  5. Step 5: Solve for x
    x = 5,787,565,701,696/1,519,258.50
  6. Step 6: Final answer
    x = 3,809,467.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.