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Finding the Third Proportional to 1,722,019.50 and 3,585,662.44

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Solution

The third proportional to 1,722,019.50 and 3,585,662.44 is: 7,466,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722,019.50 : 3,585,662.44 = 3,585,662.44 : x
  2. Step 2: Convert to fraction form
    1,722,019.50/3,585,662.44 = 3,585,662.44/x
  3. Step 3: Cross multiply
    1,722,019.50x = 3,585,662.44 × 3,585,662.44
  4. Step 4: Simplify right side
    1,722,019.50x = 12,856,975,115,698.44
  5. Step 5: Solve for x
    x = 12,856,975,115,698.44/1,722,019.50
  6. Step 6: Final answer
    x = 7,466,219.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.