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Finding the Third Proportional to 984,334 and 1,542,110.75

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Solution

The third proportional to 984,334 and 1,542,110.75 is: 2,415,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,334 : 1,542,110.75 = 1,542,110.75 : x
  2. Step 2: Convert to fraction form
    984,334/1,542,110.75 = 1,542,110.75/x
  3. Step 3: Cross multiply
    984,334x = 1,542,110.75 × 1,542,110.75
  4. Step 4: Simplify right side
    984,334x = 2,378,105,565,265.56
  5. Step 5: Solve for x
    x = 2,378,105,565,265.56/984,334
  6. Step 6: Final answer
    x = 2,415,953.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.