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Finding the Third Proportional to 644,418 and 946,902

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Solution

The third proportional to 644,418 and 946,902 is: 1,391,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,418 : 946,902 = 946,902 : x
  2. Step 2: Convert to fraction form
    644,418/946,902 = 946,902/x
  3. Step 3: Cross multiply
    644,418x = 946,902 × 946,902
  4. Step 4: Simplify right side
    644,418x = 896,623,397,604
  5. Step 5: Solve for x
    x = 896,623,397,604/644,418
  6. Step 6: Final answer
    x = 1,391,369.26

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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.