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Finding the Third Proportional to 440,967 and 966,009

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Solution

The third proportional to 440,967 and 966,009 is: 2,116,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,967 : 966,009 = 966,009 : x
  2. Step 2: Convert to fraction form
    440,967/966,009 = 966,009/x
  3. Step 3: Cross multiply
    440,967x = 966,009 × 966,009
  4. Step 4: Simplify right side
    440,967x = 933,173,388,081
  5. Step 5: Solve for x
    x = 933,173,388,081/440,967
  6. Step 6: Final answer
    x = 2,116,197.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.