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Finding the Third Proportional to 720,144 and 1,567,296

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Solution

The third proportional to 720,144 and 1,567,296 is: 3,411,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,144 : 1,567,296 = 1,567,296 : x
  2. Step 2: Convert to fraction form
    720,144/1,567,296 = 1,567,296/x
  3. Step 3: Cross multiply
    720,144x = 1,567,296 × 1,567,296
  4. Step 4: Simplify right side
    720,144x = 2,456,416,751,616
  5. Step 5: Solve for x
    x = 2,456,416,751,616/720,144
  6. Step 6: Final answer
    x = 3,411,007.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.