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Finding the Third Proportional to 458,408 and 995,706

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Solution

The third proportional to 458,408 and 995,706 is: 2,162,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,408 : 995,706 = 995,706 : x
  2. Step 2: Convert to fraction form
    458,408/995,706 = 995,706/x
  3. Step 3: Cross multiply
    458,408x = 995,706 × 995,706
  4. Step 4: Simplify right side
    458,408x = 991,430,438,436
  5. Step 5: Solve for x
    x = 991,430,438,436/458,408
  6. Step 6: Final answer
    x = 2,162,768.62

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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.