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Finding the Third Proportional to 447,634 and 966,760

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Solution

The third proportional to 447,634 and 966,760 is: 2,087,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,634 : 966,760 = 966,760 : x
  2. Step 2: Convert to fraction form
    447,634/966,760 = 966,760/x
  3. Step 3: Cross multiply
    447,634x = 966,760 × 966,760
  4. Step 4: Simplify right side
    447,634x = 934,624,897,600
  5. Step 5: Solve for x
    x = 934,624,897,600/447,634
  6. Step 6: Final answer
    x = 2,087,922.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.