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Finding the Third Proportional to 541,886 and 804,978

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Solution

The third proportional to 541,886 and 804,978 is: 1,195,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,886 : 804,978 = 804,978 : x
  2. Step 2: Convert to fraction form
    541,886/804,978 = 804,978/x
  3. Step 3: Cross multiply
    541,886x = 804,978 × 804,978
  4. Step 4: Simplify right side
    541,886x = 647,989,580,484
  5. Step 5: Solve for x
    x = 647,989,580,484/541,886
  6. Step 6: Final answer
    x = 1,195,804.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.