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Finding the Third Proportional to 800,174 and 1,238,169

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Solution

The third proportional to 800,174 and 1,238,169 is: 1,915,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,174 : 1,238,169 = 1,238,169 : x
  2. Step 2: Convert to fraction form
    800,174/1,238,169 = 1,238,169/x
  3. Step 3: Cross multiply
    800,174x = 1,238,169 × 1,238,169
  4. Step 4: Simplify right side
    800,174x = 1,533,062,472,561
  5. Step 5: Solve for x
    x = 1,533,062,472,561/800,174
  6. Step 6: Final answer
    x = 1,915,911.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.