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Finding the Third Proportional to 605,826 and 1,311,942

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Solution

The third proportional to 605,826 and 1,311,942 is: 2,841,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,826 : 1,311,942 = 1,311,942 : x
  2. Step 2: Convert to fraction form
    605,826/1,311,942 = 1,311,942/x
  3. Step 3: Cross multiply
    605,826x = 1,311,942 × 1,311,942
  4. Step 4: Simplify right side
    605,826x = 1,721,191,811,364
  5. Step 5: Solve for x
    x = 1,721,191,811,364/605,826
  6. Step 6: Final answer
    x = 2,841,066.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.