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Finding the Third Proportional to 443,288 and 945,544

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Solution

The third proportional to 443,288 and 945,544 is: 2,016,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,288 : 945,544 = 945,544 : x
  2. Step 2: Convert to fraction form
    443,288/945,544 = 945,544/x
  3. Step 3: Cross multiply
    443,288x = 945,544 × 945,544
  4. Step 4: Simplify right side
    443,288x = 894,053,455,936
  5. Step 5: Solve for x
    x = 894,053,455,936/443,288
  6. Step 6: Final answer
    x = 2,016,868.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.