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Finding the Third Proportional to 420,374.81 and 919,653.75

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Solution

The third proportional to 420,374.81 and 919,653.75 is: 2,011,926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,374.81 : 919,653.75 = 919,653.75 : x
  2. Step 2: Convert to fraction form
    420,374.81/919,653.75 = 919,653.75/x
  3. Step 3: Cross multiply
    420,374.81x = 919,653.75 × 919,653.75
  4. Step 4: Simplify right side
    420,374.81x = 845,763,019,889.06
  5. Step 5: Solve for x
    x = 845,763,019,889.06/420,374.81
  6. Step 6: Final answer
    x = 2,011,926.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.