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Finding the Third Proportional to 447,404 and 946,628

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Solution

The third proportional to 447,404 and 946,628 is: 2,002,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,404 : 946,628 = 946,628 : x
  2. Step 2: Convert to fraction form
    447,404/946,628 = 946,628/x
  3. Step 3: Cross multiply
    447,404x = 946,628 × 946,628
  4. Step 4: Simplify right side
    447,404x = 896,104,570,384
  5. Step 5: Solve for x
    x = 896,104,570,384/447,404
  6. Step 6: Final answer
    x = 2,002,897.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.