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Finding the Third Proportional to 478,128 and 1,040,379

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Solution

The third proportional to 478,128 and 1,040,379 is: 2,263,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,128 : 1,040,379 = 1,040,379 : x
  2. Step 2: Convert to fraction form
    478,128/1,040,379 = 1,040,379/x
  3. Step 3: Cross multiply
    478,128x = 1,040,379 × 1,040,379
  4. Step 4: Simplify right side
    478,128x = 1,082,388,463,641
  5. Step 5: Solve for x
    x = 1,082,388,463,641/478,128
  6. Step 6: Final answer
    x = 2,263,804.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.