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Finding the Third Proportional to 497,016 and 1,072,728

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Solution

The third proportional to 497,016 and 1,072,728 is: 2,315,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,016 : 1,072,728 = 1,072,728 : x
  2. Step 2: Convert to fraction form
    497,016/1,072,728 = 1,072,728/x
  3. Step 3: Cross multiply
    497,016x = 1,072,728 × 1,072,728
  4. Step 4: Simplify right side
    497,016x = 1,150,745,361,984
  5. Step 5: Solve for x
    x = 1,150,745,361,984/497,016
  6. Step 6: Final answer
    x = 2,315,308.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.