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Finding the Third Proportional to 447,048 and 972,936

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Solution

The third proportional to 447,048 and 972,936 is: 2,117,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,048 : 972,936 = 972,936 : x
  2. Step 2: Convert to fraction form
    447,048/972,936 = 972,936/x
  3. Step 3: Cross multiply
    447,048x = 972,936 × 972,936
  4. Step 4: Simplify right side
    447,048x = 946,604,460,096
  5. Step 5: Solve for x
    x = 946,604,460,096/447,048
  6. Step 6: Final answer
    x = 2,117,455.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.