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Finding the Third Proportional to 439,024 and 943,504

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Solution

The third proportional to 439,024 and 943,504 is: 2,027,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,024 : 943,504 = 943,504 : x
  2. Step 2: Convert to fraction form
    439,024/943,504 = 943,504/x
  3. Step 3: Cross multiply
    439,024x = 943,504 × 943,504
  4. Step 4: Simplify right side
    439,024x = 890,199,798,016
  5. Step 5: Solve for x
    x = 890,199,798,016/439,024
  6. Step 6: Final answer
    x = 2,027,679.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.