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Finding the Third Proportional to 458,422.03 and 995,662.13

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Solution

The third proportional to 458,422.03 and 995,662.13 is: 2,162,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,422.03 : 995,662.13 = 995,662.13 : x
  2. Step 2: Convert to fraction form
    458,422.03/995,662.13 = 995,662.13/x
  3. Step 3: Cross multiply
    458,422.03x = 995,662.13 × 995,662.13
  4. Step 4: Simplify right side
    458,422.03x = 991,343,067,159.52
  5. Step 5: Solve for x
    x = 991,343,067,159.52/458,422.03
  6. Step 6: Final answer
    x = 2,162,511.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.