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Finding the Third Proportional to 414,449 and 916,003

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Solution

The third proportional to 414,449 and 916,003 is: 2,024,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,449 : 916,003 = 916,003 : x
  2. Step 2: Convert to fraction form
    414,449/916,003 = 916,003/x
  3. Step 3: Cross multiply
    414,449x = 916,003 × 916,003
  4. Step 4: Simplify right side
    414,449x = 839,061,496,009
  5. Step 5: Solve for x
    x = 839,061,496,009/414,449
  6. Step 6: Final answer
    x = 2,024,522.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.