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Finding the Third Proportional to 422,034 and 976,169

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Solution

The third proportional to 422,034 and 976,169 is: 2,257,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,034 : 976,169 = 976,169 : x
  2. Step 2: Convert to fraction form
    422,034/976,169 = 976,169/x
  3. Step 3: Cross multiply
    422,034x = 976,169 × 976,169
  4. Step 4: Simplify right side
    422,034x = 952,905,916,561
  5. Step 5: Solve for x
    x = 952,905,916,561/422,034
  6. Step 6: Final answer
    x = 2,257,888.98

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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.