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Finding the Third Proportional to 418,035.94 and 919,314.56

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Solution

The third proportional to 418,035.94 and 919,314.56 is: 2,021,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,035.94 : 919,314.56 = 919,314.56 : x
  2. Step 2: Convert to fraction form
    418,035.94/919,314.56 = 919,314.56/x
  3. Step 3: Cross multiply
    418,035.94x = 919,314.56 × 919,314.56
  4. Step 4: Simplify right side
    418,035.94x = 845,139,264,824.57
  5. Step 5: Solve for x
    x = 845,139,264,824.57/418,035.94
  6. Step 6: Final answer
    x = 2,021,690.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.