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Finding the Third Proportional to 511,832 and 1,056,448

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Solution

The third proportional to 511,832 and 1,056,448 is: 2,180,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,832 : 1,056,448 = 1,056,448 : x
  2. Step 2: Convert to fraction form
    511,832/1,056,448 = 1,056,448/x
  3. Step 3: Cross multiply
    511,832x = 1,056,448 × 1,056,448
  4. Step 4: Simplify right side
    511,832x = 1,116,082,376,704
  5. Step 5: Solve for x
    x = 1,116,082,376,704/511,832
  6. Step 6: Final answer
    x = 2,180,563.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.