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Finding the Third Proportional to 800,506.63 and 1,238,167.38

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Solution

The third proportional to 800,506.63 and 1,238,167.38 is: 1,915,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,506.63 : 1,238,167.38 = 1,238,167.38 : x
  2. Step 2: Convert to fraction form
    800,506.63/1,238,167.38 = 1,238,167.38/x
  3. Step 3: Cross multiply
    800,506.63x = 1,238,167.38 × 1,238,167.38
  4. Step 4: Simplify right side
    800,506.63x = 1,533,058,448,514.39
  5. Step 5: Solve for x
    x = 1,533,058,448,514.39/800,506.63
  6. Step 6: Final answer
    x = 1,915,110.26

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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.