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Finding the Third Proportional to 1,152,559.69 and 1,691,472.38

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Solution

The third proportional to 1,152,559.69 and 1,691,472.38 is: 2,482,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,559.69 : 1,691,472.38 = 1,691,472.38 : x
  2. Step 2: Convert to fraction form
    1,152,559.69/1,691,472.38 = 1,691,472.38/x
  3. Step 3: Cross multiply
    1,152,559.69x = 1,691,472.38 × 1,691,472.38
  4. Step 4: Simplify right side
    1,152,559.69x = 2,861,078,795,388.14
  5. Step 5: Solve for x
    x = 2,861,078,795,388.14/1,152,559.69
  6. Step 6: Final answer
    x = 2,482,369.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.