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Finding the Third Proportional to 1,364,181.75 and 2,970,556.03

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Solution

The third proportional to 1,364,181.75 and 2,970,556.03 is: 6,468,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,181.75 : 2,970,556.03 = 2,970,556.03 : x
  2. Step 2: Convert to fraction form
    1,364,181.75/2,970,556.03 = 2,970,556.03/x
  3. Step 3: Cross multiply
    1,364,181.75x = 2,970,556.03 × 2,970,556.03
  4. Step 4: Simplify right side
    1,364,181.75x = 8,824,203,134,795.75
  5. Step 5: Solve for x
    x = 8,824,203,134,795.75/1,364,181.75
  6. Step 6: Final answer
    x = 6,468,495.22

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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.