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Finding the Third Proportional to 478,338 and 1,040,754

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Solution

The third proportional to 478,338 and 1,040,754 is: 2,264,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,338 : 1,040,754 = 1,040,754 : x
  2. Step 2: Convert to fraction form
    478,338/1,040,754 = 1,040,754/x
  3. Step 3: Cross multiply
    478,338x = 1,040,754 × 1,040,754
  4. Step 4: Simplify right side
    478,338x = 1,083,168,888,516
  5. Step 5: Solve for x
    x = 1,083,168,888,516/478,338
  6. Step 6: Final answer
    x = 2,264,442.48

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