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Finding the Third Proportional to 689,576 and 1,070,450

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Solution

The third proportional to 689,576 and 1,070,450 is: 1,661,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,576 : 1,070,450 = 1,070,450 : x
  2. Step 2: Convert to fraction form
    689,576/1,070,450 = 1,070,450/x
  3. Step 3: Cross multiply
    689,576x = 1,070,450 × 1,070,450
  4. Step 4: Simplify right side
    689,576x = 1,145,863,202,500
  5. Step 5: Solve for x
    x = 1,145,863,202,500/689,576
  6. Step 6: Final answer
    x = 1,661,692.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.