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Finding the Third Proportional to 469,131 and 1,024,299

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Solution

The third proportional to 469,131 and 1,024,299 is: 2,236,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,131 : 1,024,299 = 1,024,299 : x
  2. Step 2: Convert to fraction form
    469,131/1,024,299 = 1,024,299/x
  3. Step 3: Cross multiply
    469,131x = 1,024,299 × 1,024,299
  4. Step 4: Simplify right side
    469,131x = 1,049,188,441,401
  5. Step 5: Solve for x
    x = 1,049,188,441,401/469,131
  6. Step 6: Final answer
    x = 2,236,450.89

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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.