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Finding the Third Proportional to 984,382 and 1,542,180

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Solution

The third proportional to 984,382 and 1,542,180 is: 2,416,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,382 : 1,542,180 = 1,542,180 : x
  2. Step 2: Convert to fraction form
    984,382/1,542,180 = 1,542,180/x
  3. Step 3: Cross multiply
    984,382x = 1,542,180 × 1,542,180
  4. Step 4: Simplify right side
    984,382x = 2,378,319,152,400
  5. Step 5: Solve for x
    x = 2,378,319,152,400/984,382
  6. Step 6: Final answer
    x = 2,416,053.07

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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.