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Finding the Third Proportional to 3,942,429.75 and 5,763,971.25

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Solution

The third proportional to 3,942,429.75 and 5,763,971.25 is: 8,427,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942,429.75 : 5,763,971.25 = 5,763,971.25 : x
  2. Step 2: Convert to fraction form
    3,942,429.75/5,763,971.25 = 5,763,971.25/x
  3. Step 3: Cross multiply
    3,942,429.75x = 5,763,971.25 × 5,763,971.25
  4. Step 4: Simplify right side
    3,942,429.75x = 33,223,364,570,826.56
  5. Step 5: Solve for x
    x = 33,223,364,570,826.56/3,942,429.75
  6. Step 6: Final answer
    x = 8,427,129.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.