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Finding the Third Proportional to 447,657 and 971,016

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Solution

The third proportional to 447,657 and 971,016 is: 2,106,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,657 : 971,016 = 971,016 : x
  2. Step 2: Convert to fraction form
    447,657/971,016 = 971,016/x
  3. Step 3: Cross multiply
    447,657x = 971,016 × 971,016
  4. Step 4: Simplify right side
    447,657x = 942,872,072,256
  5. Step 5: Solve for x
    x = 942,872,072,256/447,657
  6. Step 6: Final answer
    x = 2,106,237.75

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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.