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Finding the Third Proportional to 633,392 and 981,583

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Solution

The third proportional to 633,392 and 981,583 is: 1,521,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,392 : 981,583 = 981,583 : x
  2. Step 2: Convert to fraction form
    633,392/981,583 = 981,583/x
  3. Step 3: Cross multiply
    633,392x = 981,583 × 981,583
  4. Step 4: Simplify right side
    633,392x = 963,505,185,889
  5. Step 5: Solve for x
    x = 963,505,185,889/633,392
  6. Step 6: Final answer
    x = 1,521,183.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.