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Finding the Third Proportional to 451,916 and 963,880

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Solution

The third proportional to 451,916 and 963,880 is: 2,055,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,916 : 963,880 = 963,880 : x
  2. Step 2: Convert to fraction form
    451,916/963,880 = 963,880/x
  3. Step 3: Cross multiply
    451,916x = 963,880 × 963,880
  4. Step 4: Simplify right side
    451,916x = 929,064,654,400
  5. Step 5: Solve for x
    x = 929,064,654,400/451,916
  6. Step 6: Final answer
    x = 2,055,834.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.