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Finding the Third Proportional to 440,669 and 919,651

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Solution

The third proportional to 440,669 and 919,651 is: 1,919,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,669 : 919,651 = 919,651 : x
  2. Step 2: Convert to fraction form
    440,669/919,651 = 919,651/x
  3. Step 3: Cross multiply
    440,669x = 919,651 × 919,651
  4. Step 4: Simplify right side
    440,669x = 845,757,961,801
  5. Step 5: Solve for x
    x = 845,757,961,801/440,669
  6. Step 6: Final answer
    x = 1,919,259.04

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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.