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Finding the Third Proportional to 446,839 and 957,640

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Solution

The third proportional to 446,839 and 957,640 is: 2,052,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,839 : 957,640 = 957,640 : x
  2. Step 2: Convert to fraction form
    446,839/957,640 = 957,640/x
  3. Step 3: Cross multiply
    446,839x = 957,640 × 957,640
  4. Step 4: Simplify right side
    446,839x = 917,074,369,600
  5. Step 5: Solve for x
    x = 917,074,369,600/446,839
  6. Step 6: Final answer
    x = 2,052,359.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.