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Finding the Third Proportional to 3,419,215.50 and 5,414,247

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Solution

The third proportional to 3,419,215.50 and 5,414,247 is: 8,573,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,215.50 : 5,414,247 = 5,414,247 : x
  2. Step 2: Convert to fraction form
    3,419,215.50/5,414,247 = 5,414,247/x
  3. Step 3: Cross multiply
    3,419,215.50x = 5,414,247 × 5,414,247
  4. Step 4: Simplify right side
    3,419,215.50x = 29,314,070,577,009
  5. Step 5: Solve for x
    x = 29,314,070,577,009/3,419,215.50
  6. Step 6: Final answer
    x = 8,573,332.27

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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.