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Finding the Third Proportional to 447,651 and 971,004

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Solution

The third proportional to 447,651 and 971,004 is: 2,106,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,651 : 971,004 = 971,004 : x
  2. Step 2: Convert to fraction form
    447,651/971,004 = 971,004/x
  3. Step 3: Cross multiply
    447,651x = 971,004 × 971,004
  4. Step 4: Simplify right side
    447,651x = 942,848,768,016
  5. Step 5: Solve for x
    x = 942,848,768,016/447,651
  6. Step 6: Final answer
    x = 2,106,213.92

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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.