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Finding the Third Proportional to 447,774.75 and 946,090.13

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Solution

The third proportional to 447,774.75 and 946,090.13 is: 1,998,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,774.75 : 946,090.13 = 946,090.13 : x
  2. Step 2: Convert to fraction form
    447,774.75/946,090.13 = 946,090.13/x
  3. Step 3: Cross multiply
    447,774.75x = 946,090.13 × 946,090.13
  4. Step 4: Simplify right side
    447,774.75x = 895,086,524,622.52
  5. Step 5: Solve for x
    x = 895,086,524,622.52/447,774.75
  6. Step 6: Final answer
    x = 1,998,966.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.