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Finding the Third Proportional to 463,420 and 1,082,692

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Solution

The third proportional to 463,420 and 1,082,692 is: 2,529,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,420 : 1,082,692 = 1,082,692 : x
  2. Step 2: Convert to fraction form
    463,420/1,082,692 = 1,082,692/x
  3. Step 3: Cross multiply
    463,420x = 1,082,692 × 1,082,692
  4. Step 4: Simplify right side
    463,420x = 1,172,221,966,864
  5. Step 5: Solve for x
    x = 1,172,221,966,864/463,420
  6. Step 6: Final answer
    x = 2,529,502.32

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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.