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Finding the Third Proportional to 820,563.19 and 1,318,425.19

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Solution

The third proportional to 820,563.19 and 1,318,425.19 is: 2,118,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,563.19 : 1,318,425.19 = 1,318,425.19 : x
  2. Step 2: Convert to fraction form
    820,563.19/1,318,425.19 = 1,318,425.19/x
  3. Step 3: Cross multiply
    820,563.19x = 1,318,425.19 × 1,318,425.19
  4. Step 4: Simplify right side
    820,563.19x = 1,738,244,975,034.41
  5. Step 5: Solve for x
    x = 1,738,244,975,034.41/820,563.19
  6. Step 6: Final answer
    x = 2,118,356.03

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.