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Finding the Third Proportional to 469,213.50 and 1,004,847

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Solution

The third proportional to 469,213.50 and 1,004,847 is: 2,151,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,213.50 : 1,004,847 = 1,004,847 : x
  2. Step 2: Convert to fraction form
    469,213.50/1,004,847 = 1,004,847/x
  3. Step 3: Cross multiply
    469,213.50x = 1,004,847 × 1,004,847
  4. Step 4: Simplify right side
    469,213.50x = 1,009,717,493,409
  5. Step 5: Solve for x
    x = 1,009,717,493,409/469,213.50
  6. Step 6: Final answer
    x = 2,151,936.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.