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Finding the Third Proportional to 422,172 and 976,515.75

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Solution

The third proportional to 422,172 and 976,515.75 is: 2,258,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,172 : 976,515.75 = 976,515.75 : x
  2. Step 2: Convert to fraction form
    422,172/976,515.75 = 976,515.75/x
  3. Step 3: Cross multiply
    422,172x = 976,515.75 × 976,515.75
  4. Step 4: Simplify right side
    422,172x = 953,583,009,998.06
  5. Step 5: Solve for x
    x = 953,583,009,998.06/422,172
  6. Step 6: Final answer
    x = 2,258,754.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.