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Finding the Third Proportional to 665,092 and 995,014

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Solution

The third proportional to 665,092 and 995,014 is: 1,488,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,092 : 995,014 = 995,014 : x
  2. Step 2: Convert to fraction form
    665,092/995,014 = 995,014/x
  3. Step 3: Cross multiply
    665,092x = 995,014 × 995,014
  4. Step 4: Simplify right side
    665,092x = 990,052,860,196
  5. Step 5: Solve for x
    x = 990,052,860,196/665,092
  6. Step 6: Final answer
    x = 1,488,595.35

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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.