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Finding the Third Proportional to 420,566.25 and 922,554.75

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Solution

The third proportional to 420,566.25 and 922,554.75 is: 2,023,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,566.25 : 922,554.75 = 922,554.75 : x
  2. Step 2: Convert to fraction form
    420,566.25/922,554.75 = 922,554.75/x
  3. Step 3: Cross multiply
    420,566.25x = 922,554.75 × 922,554.75
  4. Step 4: Simplify right side
    420,566.25x = 851,107,266,747.56
  5. Step 5: Solve for x
    x = 851,107,266,747.56/420,566.25
  6. Step 6: Final answer
    x = 2,023,717.47

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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.