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Finding the Third Proportional to 815,422 and 1,199,166

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Solution

The third proportional to 815,422 and 1,199,166 is: 1,763,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,422 : 1,199,166 = 1,199,166 : x
  2. Step 2: Convert to fraction form
    815,422/1,199,166 = 1,199,166/x
  3. Step 3: Cross multiply
    815,422x = 1,199,166 × 1,199,166
  4. Step 4: Simplify right side
    815,422x = 1,437,999,095,556
  5. Step 5: Solve for x
    x = 1,437,999,095,556/815,422
  6. Step 6: Final answer
    x = 1,763,502.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.