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Finding the Third Proportional to 448,208 and 971,092

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Solution

The third proportional to 448,208 and 971,092 is: 2,103,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,208 : 971,092 = 971,092 : x
  2. Step 2: Convert to fraction form
    448,208/971,092 = 971,092/x
  3. Step 3: Cross multiply
    448,208x = 971,092 × 971,092
  4. Step 4: Simplify right side
    448,208x = 943,019,672,464
  5. Step 5: Solve for x
    x = 943,019,672,464/448,208
  6. Step 6: Final answer
    x = 2,103,977.78

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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.