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Finding the Third Proportional to 417,954 and 986,469

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Solution

The third proportional to 417,954 and 986,469 is: 2,328,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,954 : 986,469 = 986,469 : x
  2. Step 2: Convert to fraction form
    417,954/986,469 = 986,469/x
  3. Step 3: Cross multiply
    417,954x = 986,469 × 986,469
  4. Step 4: Simplify right side
    417,954x = 973,121,087,961
  5. Step 5: Solve for x
    x = 973,121,087,961/417,954
  6. Step 6: Final answer
    x = 2,328,297.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.