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Finding the Third Proportional to 542,943 and 819,978

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Solution

The third proportional to 542,943 and 819,978 is: 1,238,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,943 : 819,978 = 819,978 : x
  2. Step 2: Convert to fraction form
    542,943/819,978 = 819,978/x
  3. Step 3: Cross multiply
    542,943x = 819,978 × 819,978
  4. Step 4: Simplify right side
    542,943x = 672,363,920,484
  5. Step 5: Solve for x
    x = 672,363,920,484/542,943
  6. Step 6: Final answer
    x = 1,238,369.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.