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Finding the Third Proportional to 1,242,067.50 and 1,874,904.75

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Solution

The third proportional to 1,242,067.50 and 1,874,904.75 is: 2,830,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,067.50 : 1,874,904.75 = 1,874,904.75 : x
  2. Step 2: Convert to fraction form
    1,242,067.50/1,874,904.75 = 1,874,904.75/x
  3. Step 3: Cross multiply
    1,242,067.50x = 1,874,904.75 × 1,874,904.75
  4. Step 4: Simplify right side
    1,242,067.50x = 3,515,267,821,572.56
  5. Step 5: Solve for x
    x = 3,515,267,821,572.56/1,242,067.50
  6. Step 6: Final answer
    x = 2,830,174.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.