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Finding the Third Proportional to 698,771 and 983,761

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Solution

The third proportional to 698,771 and 983,761 is: 1,384,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,771 : 983,761 = 983,761 : x
  2. Step 2: Convert to fraction form
    698,771/983,761 = 983,761/x
  3. Step 3: Cross multiply
    698,771x = 983,761 × 983,761
  4. Step 4: Simplify right side
    698,771x = 967,785,705,121
  5. Step 5: Solve for x
    x = 967,785,705,121/698,771
  6. Step 6: Final answer
    x = 1,384,982.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.