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Finding the Third Proportional to 496,449 and 1,071,612

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Solution

The third proportional to 496,449 and 1,071,612 is: 2,313,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,449 : 1,071,612 = 1,071,612 : x
  2. Step 2: Convert to fraction form
    496,449/1,071,612 = 1,071,612/x
  3. Step 3: Cross multiply
    496,449x = 1,071,612 × 1,071,612
  4. Step 4: Simplify right side
    496,449x = 1,148,352,278,544
  5. Step 5: Solve for x
    x = 1,148,352,278,544/496,449
  6. Step 6: Final answer
    x = 2,313,132.42

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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.