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Finding the Third Proportional to 435,685 and 943,744

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Solution

The third proportional to 435,685 and 943,744 is: 2,044,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,685 : 943,744 = 943,744 : x
  2. Step 2: Convert to fraction form
    435,685/943,744 = 943,744/x
  3. Step 3: Cross multiply
    435,685x = 943,744 × 943,744
  4. Step 4: Simplify right side
    435,685x = 890,652,737,536
  5. Step 5: Solve for x
    x = 890,652,737,536/435,685
  6. Step 6: Final answer
    x = 2,044,258.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.