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Finding the Third Proportional to 481,043 and 1,044,058

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Solution

The third proportional to 481,043 and 1,044,058 is: 2,266,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,043 : 1,044,058 = 1,044,058 : x
  2. Step 2: Convert to fraction form
    481,043/1,044,058 = 1,044,058/x
  3. Step 3: Cross multiply
    481,043x = 1,044,058 × 1,044,058
  4. Step 4: Simplify right side
    481,043x = 1,090,057,107,364
  5. Step 5: Solve for x
    x = 1,090,057,107,364/481,043
  6. Step 6: Final answer
    x = 2,266,028.42

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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.