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Finding the Third Proportional to 984,384 and 1,542,195

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Solution

The third proportional to 984,384 and 1,542,195 is: 2,416,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,384 : 1,542,195 = 1,542,195 : x
  2. Step 2: Convert to fraction form
    984,384/1,542,195 = 1,542,195/x
  3. Step 3: Cross multiply
    984,384x = 1,542,195 × 1,542,195
  4. Step 4: Simplify right side
    984,384x = 2,378,365,418,025
  5. Step 5: Solve for x
    x = 2,378,365,418,025/984,384
  6. Step 6: Final answer
    x = 2,416,095.16

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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.