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Finding the Third Proportional to 816,133 and 1,286,801

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Solution

The third proportional to 816,133 and 1,286,801 is: 2,028,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,133 : 1,286,801 = 1,286,801 : x
  2. Step 2: Convert to fraction form
    816,133/1,286,801 = 1,286,801/x
  3. Step 3: Cross multiply
    816,133x = 1,286,801 × 1,286,801
  4. Step 4: Simplify right side
    816,133x = 1,655,856,813,601
  5. Step 5: Solve for x
    x = 1,655,856,813,601/816,133
  6. Step 6: Final answer
    x = 2,028,905.60

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.