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Finding the Third Proportional to 469,204.50 and 1,024,419

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Solution

The third proportional to 469,204.50 and 1,024,419 is: 2,236,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,204.50 : 1,024,419 = 1,024,419 : x
  2. Step 2: Convert to fraction form
    469,204.50/1,024,419 = 1,024,419/x
  3. Step 3: Cross multiply
    469,204.50x = 1,024,419 × 1,024,419
  4. Step 4: Simplify right side
    469,204.50x = 1,049,434,287,561
  5. Step 5: Solve for x
    x = 1,049,434,287,561/469,204.50
  6. Step 6: Final answer
    x = 2,236,624.52

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