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Finding the Third Proportional to 816,066 and 1,226,151

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Solution

The third proportional to 816,066 and 1,226,151 is: 1,842,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,066 : 1,226,151 = 1,226,151 : x
  2. Step 2: Convert to fraction form
    816,066/1,226,151 = 1,226,151/x
  3. Step 3: Cross multiply
    816,066x = 1,226,151 × 1,226,151
  4. Step 4: Simplify right side
    816,066x = 1,503,446,274,801
  5. Step 5: Solve for x
    x = 1,503,446,274,801/816,066
  6. Step 6: Final answer
    x = 1,842,309.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.