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Finding the Third Proportional to 481,065 and 1,044,108

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Solution

The third proportional to 481,065 and 1,044,108 is: 2,266,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,065 : 1,044,108 = 1,044,108 : x
  2. Step 2: Convert to fraction form
    481,065/1,044,108 = 1,044,108/x
  3. Step 3: Cross multiply
    481,065x = 1,044,108 × 1,044,108
  4. Step 4: Simplify right side
    481,065x = 1,090,161,515,664
  5. Step 5: Solve for x
    x = 1,090,161,515,664/481,065
  6. Step 6: Final answer
    x = 2,266,141.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.