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Finding the Third Proportional to 447,655 and 971,012

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Solution

The third proportional to 447,655 and 971,012 is: 2,106,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,655 : 971,012 = 971,012 : x
  2. Step 2: Convert to fraction form
    447,655/971,012 = 971,012/x
  3. Step 3: Cross multiply
    447,655x = 971,012 × 971,012
  4. Step 4: Simplify right side
    447,655x = 942,864,304,144
  5. Step 5: Solve for x
    x = 942,864,304,144/447,655
  6. Step 6: Final answer
    x = 2,106,229.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.