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Finding the Third Proportional to 511,896 and 1,056,504

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Solution

The third proportional to 511,896 and 1,056,504 is: 2,180,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,896 : 1,056,504 = 1,056,504 : x
  2. Step 2: Convert to fraction form
    511,896/1,056,504 = 1,056,504/x
  3. Step 3: Cross multiply
    511,896x = 1,056,504 × 1,056,504
  4. Step 4: Simplify right side
    511,896x = 1,116,200,702,016
  5. Step 5: Solve for x
    x = 1,116,200,702,016/511,896
  6. Step 6: Final answer
    x = 2,180,522.41

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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.