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Finding the Third Proportional to 644,096 and 946,448

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Solution

The third proportional to 644,096 and 946,448 is: 1,390,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,096 : 946,448 = 946,448 : x
  2. Step 2: Convert to fraction form
    644,096/946,448 = 946,448/x
  3. Step 3: Cross multiply
    644,096x = 946,448 × 946,448
  4. Step 4: Simplify right side
    644,096x = 895,763,816,704
  5. Step 5: Solve for x
    x = 895,763,816,704/644,096
  6. Step 6: Final answer
    x = 1,390,730.29

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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.