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Finding the Third Proportional to 458,460 and 995,742

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Solution

The third proportional to 458,460 and 995,742 is: 2,162,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,460 : 995,742 = 995,742 : x
  2. Step 2: Convert to fraction form
    458,460/995,742 = 995,742/x
  3. Step 3: Cross multiply
    458,460x = 995,742 × 995,742
  4. Step 4: Simplify right side
    458,460x = 991,502,130,564
  5. Step 5: Solve for x
    x = 991,502,130,564/458,460
  6. Step 6: Final answer
    x = 2,162,679.69

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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.