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Finding the Third Proportional to 463,390 and 1,082,609

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Solution

The third proportional to 463,390 and 1,082,609 is: 2,529,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,390 : 1,082,609 = 1,082,609 : x
  2. Step 2: Convert to fraction form
    463,390/1,082,609 = 1,082,609/x
  3. Step 3: Cross multiply
    463,390x = 1,082,609 × 1,082,609
  4. Step 4: Simplify right side
    463,390x = 1,172,042,246,881
  5. Step 5: Solve for x
    x = 1,172,042,246,881/463,390
  6. Step 6: Final answer
    x = 2,529,278.25

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.