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Finding the Third Proportional to 440,577 and 919,143

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Solution

The third proportional to 440,577 and 919,143 is: 1,917,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,577 : 919,143 = 919,143 : x
  2. Step 2: Convert to fraction form
    440,577/919,143 = 919,143/x
  3. Step 3: Cross multiply
    440,577x = 919,143 × 919,143
  4. Step 4: Simplify right side
    440,577x = 844,823,854,449
  5. Step 5: Solve for x
    x = 844,823,854,449/440,577
  6. Step 6: Final answer
    x = 1,917,539.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.