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Finding the Third Proportional to 816,134 and 1,776,824

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Solution

The third proportional to 816,134 and 1,776,824 is: 3,868,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,134 : 1,776,824 = 1,776,824 : x
  2. Step 2: Convert to fraction form
    816,134/1,776,824 = 1,776,824/x
  3. Step 3: Cross multiply
    816,134x = 1,776,824 × 1,776,824
  4. Step 4: Simplify right side
    816,134x = 3,157,103,526,976
  5. Step 5: Solve for x
    x = 3,157,103,526,976/816,134
  6. Step 6: Final answer
    x = 3,868,364.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.