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Finding the Third Proportional to 840,612 and 1,824,114

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Solution

The third proportional to 840,612 and 1,824,114 is: 3,958,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,612 : 1,824,114 = 1,824,114 : x
  2. Step 2: Convert to fraction form
    840,612/1,824,114 = 1,824,114/x
  3. Step 3: Cross multiply
    840,612x = 1,824,114 × 1,824,114
  4. Step 4: Simplify right side
    840,612x = 3,327,391,884,996
  5. Step 5: Solve for x
    x = 3,327,391,884,996/840,612
  6. Step 6: Final answer
    x = 3,958,296.91

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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.