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Finding the Third Proportional to 757,905 and 1,683,930

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Solution

The third proportional to 757,905 and 1,683,930 is: 3,741,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,905 : 1,683,930 = 1,683,930 : x
  2. Step 2: Convert to fraction form
    757,905/1,683,930 = 1,683,930/x
  3. Step 3: Cross multiply
    757,905x = 1,683,930 × 1,683,930
  4. Step 4: Simplify right side
    757,905x = 2,835,620,244,900
  5. Step 5: Solve for x
    x = 2,835,620,244,900/757,905
  6. Step 6: Final answer
    x = 3,741,392.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.