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Finding the Third Proportional to 549,794 and 1,166,980

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Solution

The third proportional to 549,794 and 1,166,980 is: 2,477,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,794 : 1,166,980 = 1,166,980 : x
  2. Step 2: Convert to fraction form
    549,794/1,166,980 = 1,166,980/x
  3. Step 3: Cross multiply
    549,794x = 1,166,980 × 1,166,980
  4. Step 4: Simplify right side
    549,794x = 1,361,842,320,400
  5. Step 5: Solve for x
    x = 1,361,842,320,400/549,794
  6. Step 6: Final answer
    x = 2,477,004.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.