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Finding the Third Proportional to 829,296 and 1,270,155

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Solution

The third proportional to 829,296 and 1,270,155 is: 1,945,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,296 : 1,270,155 = 1,270,155 : x
  2. Step 2: Convert to fraction form
    829,296/1,270,155 = 1,270,155/x
  3. Step 3: Cross multiply
    829,296x = 1,270,155 × 1,270,155
  4. Step 4: Simplify right side
    829,296x = 1,613,293,724,025
  5. Step 5: Solve for x
    x = 1,613,293,724,025/829,296
  6. Step 6: Final answer
    x = 1,945,377.43

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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.