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Finding the Third Proportional to 440,739 and 964,530

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Solution

The third proportional to 440,739 and 964,530 is: 2,110,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,739 : 964,530 = 964,530 : x
  2. Step 2: Convert to fraction form
    440,739/964,530 = 964,530/x
  3. Step 3: Cross multiply
    440,739x = 964,530 × 964,530
  4. Step 4: Simplify right side
    440,739x = 930,318,120,900
  5. Step 5: Solve for x
    x = 930,318,120,900/440,739
  6. Step 6: Final answer
    x = 2,110,814.16

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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.