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Finding the Third Proportional to 1,182,523 and 1,826,978

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Solution

The third proportional to 1,182,523 and 1,826,978 is: 2,822,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,523 : 1,826,978 = 1,826,978 : x
  2. Step 2: Convert to fraction form
    1,182,523/1,826,978 = 1,826,978/x
  3. Step 3: Cross multiply
    1,182,523x = 1,826,978 × 1,826,978
  4. Step 4: Simplify right side
    1,182,523x = 3,337,848,612,484
  5. Step 5: Solve for x
    x = 3,337,848,612,484/1,182,523
  6. Step 6: Final answer
    x = 2,822,650.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.