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Finding the Third Proportional to 633,423 and 981,630

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Solution

The third proportional to 633,423 and 981,630 is: 1,521,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,423 : 981,630 = 981,630 : x
  2. Step 2: Convert to fraction form
    633,423/981,630 = 981,630/x
  3. Step 3: Cross multiply
    633,423x = 981,630 × 981,630
  4. Step 4: Simplify right side
    633,423x = 963,597,456,900
  5. Step 5: Solve for x
    x = 963,597,456,900/633,423
  6. Step 6: Final answer
    x = 1,521,254.29

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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.