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Finding the Third Proportional to 440,964.56 and 966,004.88

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Solution

The third proportional to 440,964.56 and 966,004.88 is: 2,116,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,964.56 : 966,004.88 = 966,004.88 : x
  2. Step 2: Convert to fraction form
    440,964.56/966,004.88 = 966,004.88/x
  3. Step 3: Cross multiply
    440,964.56x = 966,004.88 × 966,004.88
  4. Step 4: Simplify right side
    440,964.56x = 933,165,418,523.77
  5. Step 5: Solve for x
    x = 933,165,418,523.77/440,964.56
  6. Step 6: Final answer
    x = 2,116,191.41

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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.