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Finding the Third Proportional to 469,062 and 914,791.50

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Solution

The third proportional to 469,062 and 914,791.50 is: 1,784,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,062 : 914,791.50 = 914,791.50 : x
  2. Step 2: Convert to fraction form
    469,062/914,791.50 = 914,791.50/x
  3. Step 3: Cross multiply
    469,062x = 914,791.50 × 914,791.50
  4. Step 4: Simplify right side
    469,062x = 836,843,488,472.25
  5. Step 5: Solve for x
    x = 836,843,488,472.25/469,062
  6. Step 6: Final answer
    x = 1,784,078.63

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.