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Finding the Third Proportional to 447,652 and 971,006

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Solution

The third proportional to 447,652 and 971,006 is: 2,106,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,652 : 971,006 = 971,006 : x
  2. Step 2: Convert to fraction form
    447,652/971,006 = 971,006/x
  3. Step 3: Cross multiply
    447,652x = 971,006 × 971,006
  4. Step 4: Simplify right side
    447,652x = 942,852,652,036
  5. Step 5: Solve for x
    x = 942,852,652,036/447,652
  6. Step 6: Final answer
    x = 2,106,217.89

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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.