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Finding the Third Proportional to 511,834 and 1,056,452

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Solution

The third proportional to 511,834 and 1,056,452 is: 2,180,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,834 : 1,056,452 = 1,056,452 : x
  2. Step 2: Convert to fraction form
    511,834/1,056,452 = 1,056,452/x
  3. Step 3: Cross multiply
    511,834x = 1,056,452 × 1,056,452
  4. Step 4: Simplify right side
    511,834x = 1,116,090,828,304
  5. Step 5: Solve for x
    x = 1,116,090,828,304/511,834
  6. Step 6: Final answer
    x = 2,180,571.88

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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.