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Finding the Third Proportional to 458,478 and 995,726

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Solution

The third proportional to 458,478 and 995,726 is: 2,162,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,478 : 995,726 = 995,726 : x
  2. Step 2: Convert to fraction form
    458,478/995,726 = 995,726/x
  3. Step 3: Cross multiply
    458,478x = 995,726 × 995,726
  4. Step 4: Simplify right side
    458,478x = 991,470,267,076
  5. Step 5: Solve for x
    x = 991,470,267,076/458,478
  6. Step 6: Final answer
    x = 2,162,525.28

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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.