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Finding the Third Proportional to 475,974 and 991,313

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Solution

The third proportional to 475,974 and 991,313 is: 2,064,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,974 : 991,313 = 991,313 : x
  2. Step 2: Convert to fraction form
    475,974/991,313 = 991,313/x
  3. Step 3: Cross multiply
    475,974x = 991,313 × 991,313
  4. Step 4: Simplify right side
    475,974x = 982,701,463,969
  5. Step 5: Solve for x
    x = 982,701,463,969/475,974
  6. Step 6: Final answer
    x = 2,064,611.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.