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Finding the Third Proportional to 816,576 and 1,200,672

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Solution

The third proportional to 816,576 and 1,200,672 is: 1,765,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,576 : 1,200,672 = 1,200,672 : x
  2. Step 2: Convert to fraction form
    816,576/1,200,672 = 1,200,672/x
  3. Step 3: Cross multiply
    816,576x = 1,200,672 × 1,200,672
  4. Step 4: Simplify right side
    816,576x = 1,441,613,251,584
  5. Step 5: Solve for x
    x = 1,441,613,251,584/816,576
  6. Step 6: Final answer
    x = 1,765,436.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.