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Finding the Third Proportional to 772,771.50 and 1,182,166

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Solution

The third proportional to 772,771.50 and 1,182,166 is: 1,808,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,771.50 : 1,182,166 = 1,182,166 : x
  2. Step 2: Convert to fraction form
    772,771.50/1,182,166 = 1,182,166/x
  3. Step 3: Cross multiply
    772,771.50x = 1,182,166 × 1,182,166
  4. Step 4: Simplify right side
    772,771.50x = 1,397,516,451,556
  5. Step 5: Solve for x
    x = 1,397,516,451,556/772,771.50
  6. Step 6: Final answer
    x = 1,808,447.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.