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Finding the Third Proportional to 814,212 and 1,736,631

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Solution

The third proportional to 814,212 and 1,736,631 is: 3,704,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,212 : 1,736,631 = 1,736,631 : x
  2. Step 2: Convert to fraction form
    814,212/1,736,631 = 1,736,631/x
  3. Step 3: Cross multiply
    814,212x = 1,736,631 × 1,736,631
  4. Step 4: Simplify right side
    814,212x = 3,015,887,230,161
  5. Step 5: Solve for x
    x = 3,015,887,230,161/814,212
  6. Step 6: Final answer
    x = 3,704,056.47

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.