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Finding the Third Proportional to 542,916 and 1,169,978

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Solution

The third proportional to 542,916 and 1,169,978 is: 2,521,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,916 : 1,169,978 = 1,169,978 : x
  2. Step 2: Convert to fraction form
    542,916/1,169,978 = 1,169,978/x
  3. Step 3: Cross multiply
    542,916x = 1,169,978 × 1,169,978
  4. Step 4: Simplify right side
    542,916x = 1,368,848,520,484
  5. Step 5: Solve for x
    x = 1,368,848,520,484/542,916
  6. Step 6: Final answer
    x = 2,521,289.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.