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Finding the Third Proportional to 721,935 and 1,461,393

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Solution

The third proportional to 721,935 and 1,461,393 is: 2,958,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,935 : 1,461,393 = 1,461,393 : x
  2. Step 2: Convert to fraction form
    721,935/1,461,393 = 1,461,393/x
  3. Step 3: Cross multiply
    721,935x = 1,461,393 × 1,461,393
  4. Step 4: Simplify right side
    721,935x = 2,135,669,500,449
  5. Step 5: Solve for x
    x = 2,135,669,500,449/721,935
  6. Step 6: Final answer
    x = 2,958,257.32

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.