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Finding the Third Proportional to 1,231,022.81 and 1,841,613.47

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Solution

The third proportional to 1,231,022.81 and 1,841,613.47 is: 2,755,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,022.81 : 1,841,613.47 = 1,841,613.47 : x
  2. Step 2: Convert to fraction form
    1,231,022.81/1,841,613.47 = 1,841,613.47/x
  3. Step 3: Cross multiply
    1,231,022.81x = 1,841,613.47 × 1,841,613.47
  4. Step 4: Simplify right side
    1,231,022.81x = 3,391,540,168,281.41
  5. Step 5: Solve for x
    x = 3,391,540,168,281.41/1,231,022.81
  6. Step 6: Final answer
    x = 2,755,058.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.