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Finding the Third Proportional to 800,506.38 and 1,238,167

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Solution

The third proportional to 800,506.38 and 1,238,167 is: 1,915,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,506.38 : 1,238,167 = 1,238,167 : x
  2. Step 2: Convert to fraction form
    800,506.38/1,238,167 = 1,238,167/x
  3. Step 3: Cross multiply
    800,506.38x = 1,238,167 × 1,238,167
  4. Step 4: Simplify right side
    800,506.38x = 1,533,057,519,889
  5. Step 5: Solve for x
    x = 1,533,057,519,889/800,506.38
  6. Step 6: Final answer
    x = 1,915,109.70

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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.