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Finding the Third Proportional to 481,946.63 and 1,058,491.13

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Solution

The third proportional to 481,946.63 and 1,058,491.13 is: 2,324,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,946.63 : 1,058,491.13 = 1,058,491.13 : x
  2. Step 2: Convert to fraction form
    481,946.63/1,058,491.13 = 1,058,491.13/x
  3. Step 3: Cross multiply
    481,946.63x = 1,058,491.13 × 1,058,491.13
  4. Step 4: Simplify right side
    481,946.63x = 1,120,403,461,703.77
  5. Step 5: Solve for x
    x = 1,120,403,461,703.77/481,946.63
  6. Step 6: Final answer
    x = 2,324,745.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.