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Finding the Third Proportional to 829,278 and 1,270,125

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Solution

The third proportional to 829,278 and 1,270,125 is: 1,945,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,278 : 1,270,125 = 1,270,125 : x
  2. Step 2: Convert to fraction form
    829,278/1,270,125 = 1,270,125/x
  3. Step 3: Cross multiply
    829,278x = 1,270,125 × 1,270,125
  4. Step 4: Simplify right side
    829,278x = 1,613,217,515,625
  5. Step 5: Solve for x
    x = 1,613,217,515,625/829,278
  6. Step 6: Final answer
    x = 1,945,327.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.