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Finding the Third Proportional to 440,745 and 964,542

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Solution

The third proportional to 440,745 and 964,542 is: 2,110,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,745 : 964,542 = 964,542 : x
  2. Step 2: Convert to fraction form
    440,745/964,542 = 964,542/x
  3. Step 3: Cross multiply
    440,745x = 964,542 × 964,542
  4. Step 4: Simplify right side
    440,745x = 930,341,269,764
  5. Step 5: Solve for x
    x = 930,341,269,764/440,745
  6. Step 6: Final answer
    x = 2,110,837.94

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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.