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Finding the Third Proportional to 815,766 and 1,146,732

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Solution

The third proportional to 815,766 and 1,146,732 is: 1,611,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,766 : 1,146,732 = 1,146,732 : x
  2. Step 2: Convert to fraction form
    815,766/1,146,732 = 1,146,732/x
  3. Step 3: Cross multiply
    815,766x = 1,146,732 × 1,146,732
  4. Step 4: Simplify right side
    815,766x = 1,314,994,279,824
  5. Step 5: Solve for x
    x = 1,314,994,279,824/815,766
  6. Step 6: Final answer
    x = 1,611,974.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.