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Finding the Third Proportional to 420,563.39 and 922,549.08

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Solution

The third proportional to 420,563.39 and 922,549.08 is: 2,023,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,563.39 : 922,549.08 = 922,549.08 : x
  2. Step 2: Convert to fraction form
    420,563.39/922,549.08 = 922,549.08/x
  3. Step 3: Cross multiply
    420,563.39x = 922,549.08 × 922,549.08
  4. Step 4: Simplify right side
    420,563.39x = 851,096,801,549.29
  5. Step 5: Solve for x
    x = 851,096,801,549.29/420,563.39
  6. Step 6: Final answer
    x = 2,023,706.34

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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.