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Finding the Third Proportional to 644,022 and 946,330

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Solution

The third proportional to 644,022 and 946,330 is: 1,390,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,022 : 946,330 = 946,330 : x
  2. Step 2: Convert to fraction form
    644,022/946,330 = 946,330/x
  3. Step 3: Cross multiply
    644,022x = 946,330 × 946,330
  4. Step 4: Simplify right side
    644,022x = 895,540,468,900
  5. Step 5: Solve for x
    x = 895,540,468,900/644,022
  6. Step 6: Final answer
    x = 1,390,543.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.