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Finding the Third Proportional to 1,166,243.38 and 1,740,369.32

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Solution

The third proportional to 1,166,243.38 and 1,740,369.32 is: 2,597,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,243.38 : 1,740,369.32 = 1,740,369.32 : x
  2. Step 2: Convert to fraction form
    1,166,243.38/1,740,369.32 = 1,740,369.32/x
  3. Step 3: Cross multiply
    1,166,243.38x = 1,740,369.32 × 1,740,369.32
  4. Step 4: Simplify right side
    1,166,243.38x = 3,028,885,377,883.57
  5. Step 5: Solve for x
    x = 3,028,885,377,883.57/1,166,243.38
  6. Step 6: Final answer
    x = 2,597,129.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.