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Finding the Third Proportional to 517,622 and 1,097,452

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Solution

The third proportional to 517,622 and 1,097,452 is: 2,326,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,622 : 1,097,452 = 1,097,452 : x
  2. Step 2: Convert to fraction form
    517,622/1,097,452 = 1,097,452/x
  3. Step 3: Cross multiply
    517,622x = 1,097,452 × 1,097,452
  4. Step 4: Simplify right side
    517,622x = 1,204,400,892,304
  5. Step 5: Solve for x
    x = 1,204,400,892,304/517,622
  6. Step 6: Final answer
    x = 2,326,796.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.