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Finding the Third Proportional to 469,105 and 1,024,231

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Solution

The third proportional to 469,105 and 1,024,231 is: 2,236,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,105 : 1,024,231 = 1,024,231 : x
  2. Step 2: Convert to fraction form
    469,105/1,024,231 = 1,024,231/x
  3. Step 3: Cross multiply
    469,105x = 1,024,231 × 1,024,231
  4. Step 4: Simplify right side
    469,105x = 1,049,049,141,361
  5. Step 5: Solve for x
    x = 1,049,049,141,361/469,105
  6. Step 6: Final answer
    x = 2,236,277.89

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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.