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Finding the Third Proportional to 438,103.69 and 946,270.69

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Solution

The third proportional to 438,103.69 and 946,270.69 is: 2,043,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,103.69 : 946,270.69 = 946,270.69 : x
  2. Step 2: Convert to fraction form
    438,103.69/946,270.69 = 946,270.69/x
  3. Step 3: Cross multiply
    438,103.69x = 946,270.69 × 946,270.69
  4. Step 4: Simplify right side
    438,103.69x = 895,428,214,021.72
  5. Step 5: Solve for x
    x = 895,428,214,021.72/438,103.69
  6. Step 6: Final answer
    x = 2,043,872.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.