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Finding the Third Proportional to 481,064 and 1,044,106

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Solution

The third proportional to 481,064 and 1,044,106 is: 2,266,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,064 : 1,044,106 = 1,044,106 : x
  2. Step 2: Convert to fraction form
    481,064/1,044,106 = 1,044,106/x
  3. Step 3: Cross multiply
    481,064x = 1,044,106 × 1,044,106
  4. Step 4: Simplify right side
    481,064x = 1,090,157,339,236
  5. Step 5: Solve for x
    x = 1,090,157,339,236/481,064
  6. Step 6: Final answer
    x = 2,266,137.85

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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.