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Finding the Third Proportional to 692,469 and 1,082,445

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Solution

The third proportional to 692,469 and 1,082,445 is: 1,692,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,469 : 1,082,445 = 1,082,445 : x
  2. Step 2: Convert to fraction form
    692,469/1,082,445 = 1,082,445/x
  3. Step 3: Cross multiply
    692,469x = 1,082,445 × 1,082,445
  4. Step 4: Simplify right side
    692,469x = 1,171,687,178,025
  5. Step 5: Solve for x
    x = 1,171,687,178,025/692,469
  6. Step 6: Final answer
    x = 1,692,042.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.