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Finding the Third Proportional to 984,318 and 1,518,451

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Solution

The third proportional to 984,318 and 1,518,451 is: 2,342,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,318 : 1,518,451 = 1,518,451 : x
  2. Step 2: Convert to fraction form
    984,318/1,518,451 = 1,518,451/x
  3. Step 3: Cross multiply
    984,318x = 1,518,451 × 1,518,451
  4. Step 4: Simplify right side
    984,318x = 2,305,693,439,401
  5. Step 5: Solve for x
    x = 2,305,693,439,401/984,318
  6. Step 6: Final answer
    x = 2,342,427.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.