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Finding the Third Proportional to 549,193 and 1,182,653

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Solution

The third proportional to 549,193 and 1,182,653 is: 2,546,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,193 : 1,182,653 = 1,182,653 : x
  2. Step 2: Convert to fraction form
    549,193/1,182,653 = 1,182,653/x
  3. Step 3: Cross multiply
    549,193x = 1,182,653 × 1,182,653
  4. Step 4: Simplify right side
    549,193x = 1,398,668,118,409
  5. Step 5: Solve for x
    x = 1,398,668,118,409/549,193
  6. Step 6: Final answer
    x = 2,546,769.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.